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Atlas › Integer Profiles › Node 88,397,372

88,397,372

22 × 72 × 23 × 19609
Abundant Even Composite

88,397,372 factors as 2^2 × 7^2 × 23 × 19609. Its 36 positive divisors give a proper-divisor sum of 99,387,988, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 23 × 19609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 187,785,360
Proper Divisor Sum 99,387,988
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #88397371 ← → #88397377

Radix Representation

Decimal 88397372
Binary 101010001001101011000111100 (27 bits)
Octal 0o521153074
Hexadecimal 0x544D63C

Divisor Catalog (36)

1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1,127 2,254 4,508 19,609 39,218 78,436 137,263 274,526 451,007 549,052 902,014 960,841 1,804,028 1,921,682 3,157,049 3,843,364 6,314,098 12,628,196 22,099,343 44,198,686 88,397,372

Collatz Trajectory (130 steps to reach 1)

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

88,397,372 44,198,686 22,099,343 66,298,030 33,149,015 99,447,046 49,723,523 149,170,570 74,585,285 223,755,856 111,877,928 55,938,964 27,969,482 13,984,741 41,954,224 20,977,112 10,488,556 5,244,278 2,622,139 7,866,418 3,933,209 11,799,628 5,899,814 2,949,907 8,849,722 4,424,861 13,274,584 6,637,292 3,318,646 1,659,323 4,977,970 2,488,985 7,466,956 3,733,478 1,866,739 5,600,218 2,800,109 8,400,328 4,200,164 2,100,082 1,050,041 3,150,124 1,575,062 787,531 2,362,594 1,181,297 3,543,892 1,771,946 885,973 2,657,920 1,328,960 664,480 332,240 166,120 83,060 41,530 20,765 62,296 31,148 15,574

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