λ
Prime Ledger

3,640,612

22 × 173 × 5261
Deficient Even Composite

3,640,612 has the prime decomposition 2^2 × 173 × 5261. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 173 × 5261
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,409,116
Proper Divisor Sum 2,768,504
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3640597 ← → #3640633

Radix Representation

Decimal 3640612
Binary 1101111000110100100100 (22 bits)
Octal 0o15706444
Hexadecimal 0x378D24

Divisor Catalog (12)

1 2 4 173 346 692 5,261 10,522 21,044 910,153 1,820,306 3,640,612

Collatz Trajectory (203 steps to reach 1)

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

3,640,612 1,820,306 910,153 2,730,460 1,365,230 682,615 2,047,846 1,023,923 3,071,770 1,535,885 4,607,656 2,303,828 1,151,914 575,957 1,727,872 863,936 431,968 215,984 107,992 53,996 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851

More profiles

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