8,792,264

2³ × 13 × 17 × 4973

Starting at 8,792,264, the Collatz iteration reaches 1 after 119 steps. The first transition is 4396132; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 4973

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,801,720

Proper Divisor Sum 10,009,456

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8792263 ← → #8792291

Radix Representation

Decimal	8792264
Binary	100001100010100011001000 (24 bits)
Octal	0o41424310
Hexadecimal	0x8628C8

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1,768 4,973 9,946 19,892 39,784 64,649 84,541 129,298 169,082 258,596 338,164 517,192 676,328 1,099,033 2,198,066 4,396,132 8,792,264

Collatz Trajectory (119 steps to reach 1)

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

8,792,264 4,396,132 2,198,066 1,099,033 3,297,100 1,648,550 824,275 2,472,826 1,236,413 3,709,240 1,854,620 927,310 463,655 1,390,966 695,483 2,086,450 1,043,225 3,129,676 1,564,838 782,419 2,347,258 1,173,629 3,520,888 1,760,444 880,222 440,111 1,320,334 660,167 1,980,502 990,251 2,970,754 1,485,377 4,456,132 2,228,066 1,114,033 3,342,100 1,671,050 835,525 2,506,576 1,253,288 626,644 313,322 156,661 469,984 234,992 117,496 58,748 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768

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