λ
Prime Ledger

2,515,707

32 × 279523
Deficient Odd Composite

2,515,707 has the prime decomposition 3^2 × 279523. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 279523
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,633,812
Proper Divisor Sum 1,118,105
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2515703 ← → #2515727

Radix Representation

Decimal 2515707
Binary 1001100110001011111011 (22 bits)
Octal 0o11461373
Hexadecimal 0x2662FB

Divisor Catalog (6)

1 3 9 279,523 838,569 2,515,707

Collatz Trajectory (112 steps to reach 1)

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

2,515,707 7,547,122 3,773,561 11,320,684 5,660,342 2,830,171 8,490,514 4,245,257 12,735,772 6,367,886 3,183,943 9,551,830 4,775,915 14,327,746 7,163,873 21,491,620 10,745,810 5,372,905 16,118,716 8,059,358 4,029,679 12,089,038 6,044,519 18,133,558 9,066,779 27,200,338 13,600,169 40,800,508 20,400,254 10,200,127 30,600,382 15,300,191 45,900,574 22,950,287 68,850,862 34,425,431 103,276,294 51,638,147 154,914,442 77,457,221 232,371,664 116,185,832 58,092,916 29,046,458 14,523,229 43,569,688 21,784,844 10,892,422 5,446,211 16,338,634 8,169,317 24,507,952 12,253,976 6,126,988 3,063,494 1,531,747 4,595,242 2,297,621 6,892,864 3,446,432

More profiles

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