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Atlas › Integer Profiles › Node 4,846,596

4,846,596

22 × 3 × 19 × 29 × 733
Abundant Even Composite

4,846,596 factors as 2^2 × 3 × 19 × 29 × 733. Its 48 positive divisors give a proper-divisor sum of 7,484,604, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 29 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,331,200
Proper Divisor Sum 7,484,604
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4846561 ← → #4846603

Radix Representation

Decimal 4846596
Binary 10010011111010000000100 (23 bits)
Octal 0o22372004
Hexadecimal 0x49F404

Divisor Catalog (48)

1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 733 1,102 1,466 1,653 2,199 2,204 2,932 3,306 4,398 6,612 8,796 13,927 21,257 27,854 41,781 42,514 55,708 63,771 83,562 85,028 127,542 167,124 255,084 403,883 807,766 1,211,649 1,615,532 2,423,298 4,846,596

Collatz Trajectory (100 steps to reach 1)

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

4,846,596 2,423,298 1,211,649 3,634,948 1,817,474 908,737 2,726,212 1,363,106 681,553 2,044,660 1,022,330 511,165 1,533,496 766,748 383,374 191,687 575,062 287,531 862,594 431,297 1,293,892 646,946 323,473 970,420 485,210 242,605 727,816 363,908 181,954 90,977 272,932 136,466 68,233 204,700 102,350 51,175 153,526 76,763 230,290 115,145 345,436 172,718 86,359 259,078 129,539 388,618 194,309 582,928 291,464 145,732 72,866 36,433 109,300 54,650 27,325 81,976 40,988 20,494 10,247 30,742

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