42,191,584

2⁵ × 1318487

42,191,584 factors as 2^5 × 1318487. Its 12 positive divisors give a proper-divisor sum of 40,873,160, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^5 × 1318487

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 83,064,744

Proper Divisor Sum 40,873,160

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42191579 ← → #42191587

Radix Representation

Decimal	42191584
Binary	10100000111100101011100000 (26 bits)
Octal	0o240745340
Hexadecimal	0x283CAE0

Divisor Catalog (12)

1 2 4 8 16 32 1,318,487 2,636,974 5,273,948 10,547,896 21,095,792 42,191,584

Collatz Trajectory (72 steps to reach 1)

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

42,191,584 21,095,792 10,547,896 5,273,948 2,636,974 1,318,487 3,955,462 1,977,731 5,933,194 2,966,597 8,899,792 4,449,896 2,224,948 1,112,474 556,237 1,668,712 834,356 417,178 208,589 625,768 312,884 156,442 78,221 234,664 117,332 58,666 29,333 88,000 44,000 22,000 11,000 5,500 2,750 1,375 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #42,191,583 Browse Full Index Next Integer #42,191,585 →