λ
Integer Codex

2,979,616

25 × 93113
Deficient Even Composite

For 2,979,616, the 12 positive divisors have a total of 5,866,182. Removing 2,979,616 leaves 2,886,566, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 93113
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,866,182
Proper Divisor Sum 2,886,566
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2979611 ← → #2979619

Radix Representation

Decimal 2979616
Binary 1011010111011100100000 (22 bits)
Octal 0o13273440
Hexadecimal 0x2D7720

Divisor Catalog (12)

1 2 4 8 16 32 93,113 186,226 372,452 744,904 1,489,808 2,979,616

Collatz Trajectory (89 steps to reach 1)

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

2,979,616 1,489,808 744,904 372,452 186,226 93,113 279,340 139,670 69,835 209,506 104,753 314,260 157,130 78,565 235,696 117,848 58,924 29,462 14,731 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152

More profiles

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