λ
Ratio Atlas

24,001,007

24001007
Deficient Odd Prime

24,001,007 factors as 24001007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 24001007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 24,001,008
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #24000967 ← → #24001051

Radix Representation

Decimal 24001007
Binary 1011011100011100111101111 (25 bits)
Octal 0o133434757
Hexadecimal 0x16E39EF

Divisor Catalog (2)

Collatz Trajectory (260 steps to reach 1)

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

24,001,007 72,003,022 36,001,511 108,004,534 54,002,267 162,006,802 81,003,401 243,010,204 121,505,102 60,752,551 182,257,654 91,128,827 273,386,482 136,693,241 410,079,724 205,039,862 102,519,931 307,559,794 153,779,897 461,339,692 230,669,846 115,334,923 346,004,770 173,002,385 519,007,156 259,503,578 129,751,789 389,255,368 194,627,684 97,313,842 48,656,921 145,970,764 72,985,382 36,492,691 109,478,074 54,739,037 164,217,112 82,108,556 41,054,278 20,527,139 61,581,418 30,790,709 92,372,128 46,186,064 23,093,032 11,546,516 5,773,258 2,886,629 8,659,888 4,329,944 2,164,972 1,082,486 541,243 1,623,730 811,865 2,435,596 1,217,798 608,899 1,826,698 913,349

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