λ
Matchaa Zalai

8,635,639

31 × 47 × 5927
Deficient Odd Composite

8,635,639 factors as 31 × 47 × 5927. Its 8 positive divisors give a proper-divisor sum of 469,769, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 31 × 47 × 5927
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,105,408
Proper Divisor Sum 469,769
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8635637 ← → #8635657

Radix Representation

Decimal 8635639
Binary 100000111100010011110111 (24 bits)
Octal 0o40742367
Hexadecimal 0x83C4F7

Divisor Catalog (8)

1 31 47 1,457 5,927 183,737 278,569 8,635,639

Collatz Trajectory (212 steps to reach 1)

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

8,635,639 25,906,918 12,953,459 38,860,378 19,430,189 58,290,568 29,145,284 14,572,642 7,286,321 21,858,964 10,929,482 5,464,741 16,394,224 8,197,112 4,098,556 2,049,278 1,024,639 3,073,918 1,536,959 4,610,878 2,305,439 6,916,318 3,458,159 10,374,478 5,187,239 15,561,718 7,780,859 23,342,578 11,671,289 35,013,868 17,506,934 8,753,467 26,260,402 13,130,201 39,390,604 19,695,302 9,847,651 29,542,954 14,771,477 44,314,432 22,157,216 11,078,608 5,539,304 2,769,652 1,384,826 692,413 2,077,240 1,038,620 519,310 259,655 778,966 389,483 1,168,450 584,225 1,752,676 876,338 438,169 1,314,508 657,254 328,627

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