9,526,007

29² × 47 × 241

Starting at 9,526,007, the Collatz iteration reaches 1 after 150 steps. The first transition is 28578022; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 29^2 × 47 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,117,536

Proper Divisor Sum 591,529

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9525991 ← → #9526009

Radix Representation

Decimal	9526007
Binary	100100010101101011110111 (24 bits)
Octal	0o44255367
Hexadecimal	0x915AF7

Divisor Catalog (12)

1 29 47 241 841 1,363 6,989 11,327 39,527 202,681 328,483 9,526,007

Collatz Trajectory (150 steps to reach 1)

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

9,526,007 28,578,022 14,289,011 42,867,034 21,433,517 64,300,552 32,150,276 16,075,138 8,037,569 24,112,708 12,056,354 6,028,177 18,084,532 9,042,266 4,521,133 13,563,400 6,781,700 3,390,850 1,695,425 5,086,276 2,543,138 1,271,569 3,814,708 1,907,354 953,677 2,861,032 1,430,516 715,258 357,629 1,072,888 536,444 268,222 134,111 402,334 201,167 603,502 301,751 905,254 452,627 1,357,882 678,941 2,036,824 1,018,412 509,206 254,603 763,810 381,905 1,145,716 572,858 286,429 859,288 429,644 214,822 107,411 322,234 161,117 483,352 241,676 120,838 60,419

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