9,451,767

3 × 13 × 29 × 61 × 137

Starting at 9,451,767, the Collatz iteration reaches 1 after 238 steps. The first transition is 28355302; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 29 × 61 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,374,080

Proper Divisor Sum 4,922,313

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9451753 ← → #9451769

Radix Representation

Decimal	9451767
Binary	100100000011100011110111 (24 bits)
Octal	0o44034367
Hexadecimal	0x9038F7

Divisor Catalog (32)

1 3 13 29 39 61 87 137 183 377 411 793 1,131 1,769 1,781 2,379 3,973 5,307 5,343 8,357 11,919 22,997 25,071 51,649 68,991 108,641 154,947 242,353 325,923 727,059 3,150,589 9,451,767

Collatz Trajectory (238 steps to reach 1)

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

9,451,767 28,355,302 14,177,651 42,532,954 21,266,477 63,799,432 31,899,716 15,949,858 7,974,929 23,924,788 11,962,394 5,981,197 17,943,592 8,971,796 4,485,898 2,242,949 6,728,848 3,364,424 1,682,212 841,106 420,553 1,261,660 630,830 315,415 946,246 473,123 1,419,370 709,685 2,129,056 1,064,528 532,264 266,132 133,066 66,533 199,600 99,800 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296 26,648 13,324 6,662 3,331 9,994

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