58,888,564

2² × 7 × 2103163

58,888,564 factors as 2^2 × 7 × 2103163. Its 12 positive divisors give a proper-divisor sum of 58,888,620, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 2103163

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 117,777,184

Proper Divisor Sum 58,888,620

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #58888537 ← → #58888573

Radix Representation

Decimal	58888564
Binary	11100000101001000101110100 (26 bits)
Octal	0o340510564
Hexadecimal	0x3829174

Divisor Catalog (12)

1 2 4 7 14 28 2,103,163 4,206,326 8,412,652 14,722,141 29,444,282 58,888,564

Collatz Trajectory (145 steps to reach 1)

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

58,888,564 29,444,282 14,722,141 44,166,424 22,083,212 11,041,606 5,520,803 16,562,410 8,281,205 24,843,616 12,421,808 6,210,904 3,105,452 1,552,726 776,363 2,329,090 1,164,545 3,493,636 1,746,818 873,409 2,620,228 1,310,114 655,057 1,965,172 982,586 491,293 1,473,880 736,940 368,470 184,235 552,706 276,353 829,060 414,530 207,265 621,796 310,898 155,449 466,348 233,174 116,587 349,762 174,881 524,644 262,322 131,161 393,484 196,742 98,371 295,114 147,557 442,672 221,336 110,668 55,334 27,667 83,002 41,501 124,504 62,252

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