λ
Sigma Notebook

5,971,952

24 × 7 × 71 × 751
Abundant Even Composite

5,971,952 is even and not a perfect square. Its factorization is 2^4 × 7 × 71 × 751 and its 40 divisors sum to 13,427,712.

Prime Factor Structure

Factorization String 2^4 × 7 × 71 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,427,712
Proper Divisor Sum 7,455,760
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5971951 ← → #5971993

Radix Representation

Decimal 5971952
Binary 10110110001111111110000 (23 bits)
Octal 0o26617760
Hexadecimal 0x5B1FF0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 751 994 1,136 1,502 1,988 3,004 3,976 5,257 6,008 7,952 10,514 12,016 21,028 42,056 53,321 84,112 106,642 213,284 373,247 426,568 746,494 853,136 1,492,988 2,985,976 5,971,952

Collatz Trajectory (121 steps to reach 1)

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

5,971,952 2,985,976 1,492,988 746,494 373,247 1,119,742 559,871 1,679,614 839,807 2,519,422 1,259,711 3,779,134 1,889,567 5,668,702 2,834,351 8,503,054 4,251,527 12,754,582 6,377,291 19,131,874 9,565,937 28,697,812 14,348,906 7,174,453 21,523,360 10,761,680 5,380,840 2,690,420 1,345,210 672,605 2,017,816 1,008,908 504,454 252,227 756,682 378,341 1,135,024 567,512 283,756 141,878 70,939 212,818 106,409 319,228 159,614 79,807 239,422 119,711 359,134 179,567 538,702 269,351 808,054 404,027 1,212,082 606,041 1,818,124 909,062 454,531 1,363,594

More profiles

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