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Atlas › Integer Profiles › Node 62,293,840

62,293,840

24 × 5 × 7 × 173 × 643
Abundant Even Composite

62,293,840 factors as 2^4 × 5 × 7 × 173 × 643. Its 80 positive divisors give a proper-divisor sum of 104,445,488, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 173 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 166,739,328
Proper Divisor Sum 104,445,488
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #62293817 ← → #62293841

Radix Representation

Decimal 62293840
Binary 11101101101000011101010000 (26 bits)
Octal 0o355503520
Hexadecimal 0x3B68750

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 173 280 346 560 643 692 865 1,211 1,286 1,384 1,730 2,422 2,572 2,768 3,215 3,460 4,501 4,844 5,144 6,055 6,430 6,920 9,002 9,688 10,288 12,110 12,860 13,840 18,004 19,376 22,505 24,220 25,720 36,008 45,010 48,440 51,440 72,016 90,020 96,880 111,239 180,040

Collatz Trajectory (70 steps to reach 1)

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

62,293,840 31,146,920 15,573,460 7,786,730 3,893,365 11,680,096 5,840,048 2,920,024 1,460,012 730,006 365,003 1,095,010 547,505 1,642,516 821,258 410,629 1,231,888 615,944 307,972 153,986 76,993 230,980 115,490 57,745 173,236 86,618 43,309 129,928 64,964 32,482 16,241 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52

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