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Atlas › Integer Profiles › Node 62,735,920

62,735,920

24 × 5 × 13 × 179 × 337
Abundant Even Composite

62,735,920 factors as 2^4 × 5 × 13 × 179 × 337. Its 80 positive divisors give a proper-divisor sum of 95,691,440, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 179 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 158,427,360
Proper Divisor Sum 95,691,440
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #62735917 ← → #62735923

Radix Representation

Decimal 62735920
Binary 11101111010100011000110000 (26 bits)
Octal 0o357243060
Hexadecimal 0x3BD4630

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 337 358 520 674 716 895 1,040 1,348 1,432 1,685 1,790 2,327 2,696 2,864 3,370 3,580 4,381 4,654 5,392 6,740 7,160 8,762 9,308 11,635 13,480 14,320 17,524 18,616 21,905 23,270 26,960 35,048 37,232 43,810 46,540 60,323 70,096 87,620 93,080 120,646 175,240

Collatz Trajectory (158 steps to reach 1)

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

62,735,920 31,367,960 15,683,980 7,841,990 3,920,995 11,762,986 5,881,493 17,644,480 8,822,240 4,411,120 2,205,560 1,102,780 551,390 275,695 827,086 413,543 1,240,630 620,315 1,860,946 930,473 2,791,420 1,395,710 697,855 2,093,566 1,046,783 3,140,350 1,570,175 4,710,526 2,355,263 7,065,790 3,532,895 10,598,686 5,299,343 15,898,030 7,949,015 23,847,046 11,923,523 35,770,570 17,885,285 53,655,856 26,827,928 13,413,964 6,706,982 3,353,491 10,060,474 5,030,237 15,090,712 7,545,356 3,772,678 1,886,339 5,659,018 2,829,509 8,488,528 4,244,264 2,122,132 1,061,066 530,533 1,591,600 795,800 397,900

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