88,727,128

2³ × 7 × 1584413

88,727,128 factors as 2^3 × 7 × 1584413. Its 16 positive divisors give a proper-divisor sum of 101,402,552, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 1584413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 190,129,680

Proper Divisor Sum 101,402,552

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #88727087 ← → #88727143

Radix Representation

Decimal	88727128
Binary	101010010011101111001011000 (27 bits)
Octal	0o522357130
Hexadecimal	0x549DE58

Divisor Catalog (16)

1 2 4 7 8 14 28 56 1,584,413 3,168,826 6,337,652 11,090,891 12,675,304 22,181,782 44,363,564 88,727,128

Collatz Trajectory (143 steps to reach 1)

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

88,727,128 44,363,564 22,181,782 11,090,891 33,272,674 16,636,337 49,909,012 24,954,506 12,477,253 37,431,760 18,715,880 9,357,940 4,678,970 2,339,485 7,018,456 3,509,228 1,754,614 877,307 2,631,922 1,315,961 3,947,884 1,973,942 986,971 2,960,914 1,480,457 4,441,372 2,220,686 1,110,343 3,331,030 1,665,515 4,996,546 2,498,273 7,494,820 3,747,410 1,873,705 5,621,116 2,810,558 1,405,279 4,215,838 2,107,919 6,323,758 3,161,879 9,485,638 4,742,819 14,228,458 7,114,229 21,342,688 10,671,344 5,335,672 2,667,836 1,333,918 666,959 2,000,878 1,000,439 3,001,318 1,500,659 4,501,978 2,250,989 6,752,968 3,376,484

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