15,942,784

2⁷ × 11 × 13² × 67

15,942,784 factors as 2^7 × 11 × 13^2 × 67. Its 96 positive divisors give a proper-divisor sum of 22,135,856, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 13^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 38,078,640

Proper Divisor Sum 22,135,856

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #15942781 ← → #15942799

Radix Representation

Decimal	15942784
Binary	111100110100010010000000 (24 bits)
Octal	0o74642200
Hexadecimal	0xF34480

Divisor Catalog (60 of 96)

1 2 4 8 11 13 16 22 26 32 44 52 64 67 88 104 128 134 143 169 176 208 268 286 338 352 416 536 572 676 704 737 832 871 1,072 1,144 1,352 1,408 1,474 1,664 1,742 1,859 2,144 2,288 2,704 2,948 3,484 3,718 4,288 4,576 5,408 5,896 6,968 7,436 8,576 9,152 9,581 10,816 11,323 11,792

Collatz Trajectory (143 steps to reach 1)

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

15,942,784 7,971,392 3,985,696 1,992,848 996,424 498,212 249,106 124,553 373,660 186,830 93,415 280,246 140,123 420,370 210,185 630,556 315,278 157,639 472,918 236,459 709,378 354,689 1,064,068 532,034 266,017 798,052 399,026 199,513 598,540 299,270 149,635 448,906 224,453 673,360 336,680 168,340 84,170 42,085 126,256 63,128 31,564 15,782 7,891 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810

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