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Atlas › Integer Profiles › Node 3,931,320

3,931,320

23 × 3 × 5 × 1812
Abundant Even Composite

3,931,320 factors as 2^3 × 3 × 5 × 181^2. Its 48 positive divisors give a proper-divisor sum of 7,928,160, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 181^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,859,480
Proper Divisor Sum 7,928,160
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3931307 ← → #3931331

Radix Representation

Decimal 3931320
Binary 1110111111110010111000 (22 bits)
Octal 0o16776270
Hexadecimal 0x3BFCB8

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 724 905 1,086 1,448 1,810 2,172 2,715 3,620 4,344 5,430 7,240 10,860 21,720 32,761 65,522 98,283 131,044 163,805 196,566 262,088 327,610 393,132 491,415 655,220 786,264 982,830 1,310,440 1,965,660 3,931,320

Collatz Trajectory (141 steps to reach 1)

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

3,931,320 1,965,660 982,830 491,415 1,474,246 737,123 2,211,370 1,105,685 3,317,056 1,658,528 829,264 414,632 207,316 103,658 51,829 155,488 77,744 38,872 19,436 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700

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