λ
Sequence Observatory

5,760,976

24 × 13 × 27697
Abundant Even Composite

Starting at 5,760,976, the Collatz iteration reaches 1 after 121 steps. The first transition is 2880488; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 27697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,020,932
Proper Divisor Sum 6,259,956
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5760973 ← → #5760983

Radix Representation

Decimal 5760976
Binary 10101111110011111010000 (23 bits)
Octal 0o25763720
Hexadecimal 0x57E7D0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 27,697 55,394 110,788 221,576 360,061 443,152 720,122 1,440,244 2,880,488 5,760,976

Collatz Trajectory (121 steps to reach 1)

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

5,760,976 2,880,488 1,440,244 720,122 360,061 1,080,184 540,092 270,046 135,023 405,070 202,535 607,606 303,803 911,410 455,705 1,367,116 683,558 341,779 1,025,338 512,669 1,538,008 769,004 384,502 192,251 576,754 288,377 865,132 432,566 216,283 648,850 324,425 973,276 486,638 243,319 729,958 364,979 1,094,938 547,469 1,642,408 821,204 410,602 205,301 615,904 307,952 153,976 76,988 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541

More profiles

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