9,521,505

3² × 5 × 7 × 167 × 181

Starting at 9,521,505, the Collatz iteration reaches 1 after 375 steps. The first transition is 28564516; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 167 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,079,424

Proper Divisor Sum 9,557,919

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9521497 ← → #9521507

Radix Representation

Decimal	9521505
Binary	100100010100100101100001 (24 bits)
Octal	0o44244541
Hexadecimal	0x914961

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 63 105 167 181 315 501 543 835 905 1,169 1,267 1,503 1,629 2,505 2,715 3,507 3,801 5,845 6,335 7,515 8,145 10,521 11,403 17,535 19,005 30,227 52,605 57,015 90,681 151,135 211,589 272,043 453,405 634,767 1,057,945 1,360,215 1,904,301 3,173,835 9,521,505

Collatz Trajectory (375 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,521,505 28,564,516 14,282,258 7,141,129 21,423,388 10,711,694 5,355,847 16,067,542 8,033,771 24,101,314 12,050,657 36,151,972 18,075,986 9,037,993 27,113,980 13,556,990 6,778,495 20,335,486 10,167,743 30,503,230 15,251,615 45,754,846 22,877,423 68,632,270 34,316,135 102,948,406 51,474,203 154,422,610 77,211,305 231,633,916 115,816,958 57,908,479 173,725,438 86,862,719 260,588,158 130,294,079 390,882,238 195,441,119 586,323,358 293,161,679 879,485,038 439,742,519 1,319,227,558 659,613,779 1,978,841,338 989,420,669 2,968,262,008 1,484,131,004 742,065,502 371,032,751 1,113,098,254 556,549,127 1,669,647,382 834,823,691 2,504,471,074 1,252,235,537 3,756,706,612 1,878,353,306 939,176,653 2,817,529,960

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