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Atlas › Integer Profiles › Node 57,998,024

57,998,024

23 × 7 × 31 × 33409
Abundant Even Composite

57,998,024 factors as 2^3 × 7 × 31 × 33409. Its 32 positive divisors give a proper-divisor sum of 70,296,376, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 33409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 128,294,400
Proper Divisor Sum 70,296,376
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57997987 ← → #57998027

Radix Representation

Decimal 57998024
Binary 11011101001111101011001000 (26 bits)
Octal 0o335175310
Hexadecimal 0x374FAC8

Divisor Catalog (32)

1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1,736 33,409 66,818 133,636 233,863 267,272 467,726 935,452 1,035,679 1,870,904 2,071,358 4,142,716 7,249,753 8,285,432 14,499,506 28,999,012 57,998,024

Collatz Trajectory (93 steps to reach 1)

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

57,998,024 28,999,012 14,499,506 7,249,753 21,749,260 10,874,630 5,437,315 16,311,946 8,155,973 24,467,920 12,233,960 6,116,980 3,058,490 1,529,245 4,587,736 2,293,868 1,146,934 573,467 1,720,402 860,201 2,580,604 1,290,302 645,151 1,935,454 967,727 2,903,182 1,451,591 4,354,774 2,177,387 6,532,162 3,266,081 9,798,244 4,899,122 2,449,561 7,348,684 3,674,342 1,837,171 5,511,514 2,755,757 8,267,272 4,133,636 2,066,818 1,033,409 3,100,228 1,550,114 775,057 2,325,172 1,162,586 581,293 1,743,880 871,940 435,970 217,985 653,956 326,978 163,489 490,468 245,234 122,617 367,852

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