9,638,524

2² × 7 × 17 × 20249

Starting at 9,638,524, the Collatz iteration reaches 1 after 93 steps. The first transition is 4819262; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 20249

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,412,000

Proper Divisor Sum 10,773,476

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9638483 ← → #9638557

Radix Representation

Decimal	9638524
Binary	100100110001001001111100 (24 bits)
Octal	0o44611174
Hexadecimal	0x93127C

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 20,249 40,498 80,996 141,743 283,486 344,233 566,972 688,466 1,376,932 2,409,631 4,819,262 9,638,524

Collatz Trajectory (93 steps to reach 1)

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

9,638,524 4,819,262 2,409,631 7,228,894 3,614,447 10,843,342 5,421,671 16,265,014 8,132,507 24,397,522 12,198,761 36,596,284 18,298,142 9,149,071 27,447,214 13,723,607 41,170,822 20,585,411 61,756,234 30,878,117 92,634,352 46,317,176 23,158,588 11,579,294 5,789,647 17,368,942 8,684,471 26,053,414 13,026,707 39,080,122 19,540,061 58,620,184 29,310,092 14,655,046 7,327,523 21,982,570 10,991,285 32,973,856 16,486,928 8,243,464 4,121,732 2,060,866 1,030,433 3,091,300 1,545,650 772,825 2,318,476 1,159,238 579,619 1,738,858 869,429 2,608,288 1,304,144 652,072 326,036 163,018 81,509 244,528 122,264 61,132

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