λ
Ratio Atlas
Atlas › Integer Profiles › Node 88,580,608

88,580,608

29 × 17 × 10177
Abundant Even Composite

88,580,608 factors as 2^9 × 17 × 10177. Its 40 positive divisors give a proper-divisor sum of 98,837,084, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^9 × 17 × 10177
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 187,417,692
Proper Divisor Sum 98,837,084
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #88580599 ← → #88580617

Radix Representation

Decimal 88580608
Binary 101010001111010001000000000 (27 bits)
Octal 0o521721000
Hexadecimal 0x547A200

Divisor Catalog (40)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1,088 2,176 4,352 8,704 10,177 20,354 40,708 81,416 162,832 173,009 325,664 346,018 651,328 692,036 1,302,656 1,384,072 2,605,312 2,768,144 5,210,624 5,536,288 11,072,576 22,145,152 44,290,304 88,580,608

Collatz Trajectory (205 steps to reach 1)

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

88,580,608 44,290,304 22,145,152 11,072,576 5,536,288 2,768,144 1,384,072 692,036 346,018 173,009 519,028 259,514 129,757 389,272 194,636 97,318 48,659 145,978 72,989 218,968 109,484 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993 221,980 110,990 55,495 166,486 83,243 249,730 124,865 374,596 187,298 93,649

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 #88,580,607 Browse Full Index Next Integer #88,580,609 →