616,120

2³ × 5 × 73 × 211

616,120 has digital root 7. The neighboring primes are 616117 and 616129; its proper-divisor sum differs from the starting integer by 179,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 73 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,411,920

Proper Divisor Sum 795,800

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #616117 ← → #616129

Radix Representation

Decimal	616120
Binary	10010110011010111000 (20 bits)
Octal	0o2263270
Hexadecimal	0x966B8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 73 146 211 292 365 422 584 730 844 1,055 1,460 1,688 2,110 2,920 4,220 8,440 15,403 30,806 61,612 77,015 123,224 154,030 308,060 616,120

Collatz Trajectory (79 steps to reach 1)

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

616,120 308,060 154,030 77,015 231,046 115,523 346,570 173,285 519,856 259,928 129,964 64,982 32,491 97,474 48,737 146,212 73,106 36,553 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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