λ
Integer Codex

8,621,636

22 × 2155409
Deficient Even Composite

For 8,621,636, the 6 positive divisors have a total of 15,087,870. Removing 8,621,636 leaves 6,466,234, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 2155409
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 15,087,870
Proper Divisor Sum 6,466,234
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8621623 ← → #8621653

Radix Representation

Decimal 8621636
Binary 100000111000111001000100 (24 bits)
Octal 0o40707104
Hexadecimal 0x838E44

Divisor Catalog (6)

1 2 4 2,155,409 4,310,818 8,621,636

Collatz Trajectory (106 steps to reach 1)

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

8,621,636 4,310,818 2,155,409 6,466,228 3,233,114 1,616,557 4,849,672 2,424,836 1,212,418 606,209 1,818,628 909,314 454,657 1,363,972 681,986 340,993 1,022,980 511,490 255,745 767,236 383,618 191,809 575,428 287,714 143,857 431,572 215,786 107,893 323,680 161,840 80,920 40,460 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254

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