9,716,392

2³ × 7 × 29 × 31 × 193

Starting at 9,716,392, the Collatz iteration reaches 1 after 70 steps. The first transition is 4858196; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 31 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 22,348,800

Proper Divisor Sum 12,632,408

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9716383 ← → #9716431

Radix Representation

Decimal	9716392
Binary	100101000100001010101000 (24 bits)
Octal	0o45041250
Hexadecimal	0x9442A8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 29 31 56 58 62 116 124 193 203 217 232 248 386 406 434 772 812 868 899 1,351 1,544 1,624 1,736 1,798 2,702 3,596 5,404 5,597 5,983 6,293 7,192 10,808 11,194 11,966 12,586 22,388 23,932 25,172 39,179 41,881 44,776 47,864 50,344 78,358 83,762 156,716 167,524 173,507 313,432 335,048 347,014 694,028 1,214,549

Collatz Trajectory (70 steps to reach 1)

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

9,716,392 4,858,196 2,429,098 1,214,549 3,643,648 1,821,824 910,912 455,456 227,728 113,864 56,932 28,466 14,233 42,700 21,350 10,675 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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