9,637,992

2³ × 3² × 7 × 13 × 1471

9,637,992 has digital root 9. The neighboring primes are 9637987 and 9638009; its proper-divisor sum differs from the starting integer by 12,872,496.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 1471

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 32,148,480

Proper Divisor Sum 22,510,488

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9637987 ← → #9638009

Radix Representation

Decimal	9637992
Binary	100100110001000001101000 (24 bits)
Octal	0o44610150
Hexadecimal	0x931068

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1,092 1,471 1,638 2,184 2,942 3,276 4,413 5,884 6,552 8,826 10,297 11,768 13,239 17,652 19,123 20,594 26,478

Collatz Trajectory (163 steps to reach 1)

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

9,637,992 4,818,996 2,409,498 1,204,749 3,614,248 1,807,124 903,562 451,781 1,355,344 677,672 338,836 169,418 84,709 254,128 127,064 63,532 31,766 15,883 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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