9,089,457

3 × 13 × 37 × 6299

Starting at 9,089,457, the Collatz iteration reaches 1 after 88 steps. The first transition is 27268372; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 37 × 6299

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,406,400

Proper Divisor Sum 4,316,943

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9089419 ← → #9089461

Radix Representation

Decimal	9089457
Binary	100010101011000110110001 (24 bits)
Octal	0o42530661
Hexadecimal	0x8AB1B1

Divisor Catalog (16)

1 3 13 37 39 111 481 1,443 6,299 18,897 81,887 233,063 245,661 699,189 3,029,819 9,089,457

Collatz Trajectory (88 steps to reach 1)

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

9,089,457 27,268,372 13,634,186 6,817,093 20,451,280 10,225,640 5,112,820 2,556,410 1,278,205 3,834,616 1,917,308 958,654 479,327 1,437,982 718,991 2,156,974 1,078,487 3,235,462 1,617,731 4,853,194 2,426,597 7,279,792 3,639,896 1,819,948 909,974 454,987 1,364,962 682,481 2,047,444 1,023,722 511,861 1,535,584 767,792 383,896 191,948 95,974 47,987 143,962 71,981 215,944 107,972 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268

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