λ
Ratio Atlas

88,174,331

7 × 181 × 69593
Deficient Odd Composite

88,174,331 factors as 7 × 181 × 69593. Its 8 positive divisors give a proper-divisor sum of 13,154,533, so this integer is deficient. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 7 × 181 × 69593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 101,328,864
Proper Divisor Sum 13,154,533
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #88174301 ← → #88174337

Radix Representation

Decimal 88174331
Binary 101010000010110111011111011 (27 bits)
Octal 0o520267373
Hexadecimal 0x5416EFB

Divisor Catalog (8)

Collatz Trajectory (236 steps to reach 1)

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

88,174,331 264,522,994 132,261,497 396,784,492 198,392,246 99,196,123 297,588,370 148,794,185 446,382,556 223,191,278 111,595,639 334,786,918 167,393,459 502,180,378 251,090,189 753,270,568 376,635,284 188,317,642 94,158,821 282,476,464 141,238,232 70,619,116 35,309,558 17,654,779 52,964,338 26,482,169 79,446,508 39,723,254 19,861,627 59,584,882 29,792,441 89,377,324 44,688,662 22,344,331 67,032,994 33,516,497 100,549,492 50,274,746 25,137,373 75,412,120 37,706,060 18,853,030 9,426,515 28,279,546 14,139,773 42,419,320 21,209,660 10,604,830 5,302,415 15,907,246 7,953,623 23,860,870 11,930,435 35,791,306 17,895,653 53,686,960 26,843,480 13,421,740 6,710,870 3,355,435

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