9,635,792

2⁴ × 31 × 19427

Starting at 9,635,792, the Collatz iteration reaches 1 after 93 steps. The first transition is 4817896; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 31 × 19427

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 19,272,576

Proper Divisor Sum 9,636,784

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9635777 ← → #9635797

Radix Representation

Decimal	9635792
Binary	100100110000011111010000 (24 bits)
Octal	0o44603720
Hexadecimal	0x9307D0

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 19,427 38,854 77,708 155,416 310,832 602,237 1,204,474 2,408,948 4,817,896 9,635,792

Collatz Trajectory (93 steps to reach 1)

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

9,635,792 4,817,896 2,408,948 1,204,474 602,237 1,806,712 903,356 451,678 225,839 677,518 338,759 1,016,278 508,139 1,524,418 762,209 2,286,628 1,143,314 571,657 1,714,972 857,486 428,743 1,286,230 643,115 1,929,346 964,673 2,894,020 1,447,010 723,505 2,170,516 1,085,258 542,629 1,627,888 813,944 406,972 203,486 101,743 305,230 152,615 457,846 228,923 686,770 343,385 1,030,156 515,078 257,539 772,618 386,309 1,158,928 579,464 289,732 144,866 72,433 217,300 108,650 54,325 162,976 81,488 40,744 20,372 10,186

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