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Atlas › Integer Profiles › Node 58,774,833

58,774,833

32 × 13 × 37 × 13577
Deficient Odd Composite

58,774,833 factors as 3^2 × 13 × 37 × 13577. Its 24 positive divisors give a proper-divisor sum of 35,130,615, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 37 × 13577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 93,905,448
Proper Divisor Sum 35,130,615
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #58774823 ← → #58774841

Radix Representation

Decimal 58774833
Binary 11100000001101010100110001 (26 bits)
Octal 0o340152461
Hexadecimal 0x380D531

Divisor Catalog (24)

1 3 9 13 37 39 111 117 333 481 1,443 4,329 13,577 40,731 122,193 176,501 502,349 529,503 1,507,047 1,588,509 4,521,141 6,530,537 19,591,611 58,774,833

Collatz Trajectory (207 steps to reach 1)

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

58,774,833 176,324,500 88,162,250 44,081,125 132,243,376 66,121,688 33,060,844 16,530,422 8,265,211 24,795,634 12,397,817 37,193,452 18,596,726 9,298,363 27,895,090 13,947,545 41,842,636 20,921,318 10,460,659 31,381,978 15,690,989 47,072,968 23,536,484 11,768,242 5,884,121 17,652,364 8,826,182 4,413,091 13,239,274 6,619,637 19,858,912 9,929,456 4,964,728 2,482,364 1,241,182 620,591 1,861,774 930,887 2,792,662 1,396,331 4,188,994 2,094,497 6,283,492 3,141,746 1,570,873 4,712,620 2,356,310 1,178,155 3,534,466 1,767,233 5,301,700 2,650,850 1,325,425 3,976,276 1,988,138 994,069 2,982,208 1,491,104 745,552 372,776

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