58,528,024

2³ × 211 × 34673

58,528,024 factors as 2^3 × 211 × 34673. Its 16 positive divisors give a proper-divisor sum of 51,735,296, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 211 × 34673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 110,263,320

Proper Divisor Sum 51,735,296

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #58528021 ← → #58528073

Radix Representation

Decimal	58528024
Binary	11011111010001000100011000 (26 bits)
Octal	0o337210430
Hexadecimal	0x37D1118

Divisor Catalog (16)

1 2 4 8 211 422 844 1,688 34,673 69,346 138,692 277,384 7,316,003 14,632,006 29,264,012 58,528,024

Collatz Trajectory (114 steps to reach 1)

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

58,528,024 29,264,012 14,632,006 7,316,003 21,948,010 10,974,005 32,922,016 16,461,008 8,230,504 4,115,252 2,057,626 1,028,813 3,086,440 1,543,220 771,610 385,805 1,157,416 578,708 289,354 144,677 434,032 217,016 108,508 54,254 27,127 81,382 40,691 122,074 61,037 183,112 91,556 45,778 22,889 68,668 34,334 17,167 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

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