58,742,684

2² × 7 × 11 × 13 × 17 × 863

58,742,684 factors as 2^2 × 7 × 11 × 13 × 17 × 863. Its 96 positive divisors give a proper-divisor sum of 87,570,532, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13 × 17 × 863

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 146,313,216

Proper Divisor Sum 87,570,532

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #58742681 ← → #58742689

Radix Representation

Decimal	58742684
Binary	11100000000101011110011100 (26 bits)
Octal	0o340053634
Hexadecimal	0x380579C

Divisor Catalog (60 of 96)

1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 863 884 1,001 1,309 1,547 1,726 2,002 2,431 2,618 3,094 3,452 4,004 4,862 5,236 6,041 6,188 9,493 9,724 11,219 12,082 14,671 17,017 18,986 22,438 24,164 29,342 34,034 37,972

Collatz Trajectory (114 steps to reach 1)

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

58,742,684 29,371,342 14,685,671 44,057,014 22,028,507 66,085,522 33,042,761 99,128,284 49,564,142 24,782,071 74,346,214 37,173,107 111,519,322 55,759,661 167,278,984 83,639,492 41,819,746 20,909,873 62,729,620 31,364,810 15,682,405 47,047,216 23,523,608 11,761,804 5,880,902 2,940,451 8,821,354 4,410,677 13,232,032 6,616,016 3,308,008 1,654,004 827,002 413,501 1,240,504 620,252 310,126 155,063 465,190 232,595 697,786 348,893 1,046,680 523,340 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580

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