58,736,744

2³ × 11 × 667463

58,736,744 factors as 2^3 × 11 × 667463. Its 16 positive divisors give a proper-divisor sum of 61,406,776, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 667463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 120,143,520

Proper Divisor Sum 61,406,776

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #58736731 ← → #58736759

Radix Representation

Decimal	58736744
Binary	11100000000100000001101000 (26 bits)
Octal	0o340040150
Hexadecimal	0x3804068

Divisor Catalog (16)

1 2 4 8 11 22 44 88 667,463 1,334,926 2,669,852 5,339,704 7,342,093 14,684,186 29,368,372 58,736,744

Collatz Trajectory (114 steps to reach 1)

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

58,736,744 29,368,372 14,684,186 7,342,093 22,026,280 11,013,140 5,506,570 2,753,285 8,259,856 4,129,928 2,064,964 1,032,482 516,241 1,548,724 774,362 387,181 1,161,544 580,772 290,386 145,193 435,580 217,790 108,895 326,686 163,343 490,030 245,015 735,046 367,523 1,102,570 551,285 1,653,856 826,928 413,464 206,732 103,366 51,683 155,050 77,525 232,576 116,288 58,144 29,072 14,536 7,268 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727

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