λ
Integer Codex

2,501,295

3 × 5 × 172 × 577
Deficient Odd Composite

For 2,501,295, the 24 positive divisors have a total of 4,258,704. Removing 2,501,295 leaves 1,757,409, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 17^2 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,258,704
Proper Divisor Sum 1,757,409
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2501281 ← → #2501299

Radix Representation

Decimal 2501295
Binary 1001100010101010101111 (22 bits)
Octal 0o11425257
Hexadecimal 0x262AAF

Divisor Catalog (24)

1 3 5 15 17 51 85 255 289 577 867 1,445 1,731 2,885 4,335 8,655 9,809 29,427 49,045 147,135 166,753 500,259 833,765 2,501,295

Collatz Trajectory (112 steps to reach 1)

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

2,501,295 7,503,886 3,751,943 11,255,830 5,627,915 16,883,746 8,441,873 25,325,620 12,662,810 6,331,405 18,994,216 9,497,108 4,748,554 2,374,277 7,122,832 3,561,416 1,780,708 890,354 445,177 1,335,532 667,766 333,883 1,001,650 500,825 1,502,476 751,238 375,619 1,126,858 563,429 1,690,288 845,144 422,572 211,286 105,643 316,930 158,465 475,396 237,698 118,849 356,548 178,274 89,137 267,412 133,706 66,853 200,560 100,280 50,140 25,070 12,535 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866

More profiles

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