λ
Sigma Notebook

7,644,051

35 × 83 × 379
Deficient Odd Composite

7,644,051 is odd and not a perfect square. Its factorization is 3^5 × 83 × 379 and its 24 divisors sum to 11,618,880.

Prime Factor Structure

Factorization String 3^5 × 83 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,618,880
Proper Divisor Sum 3,974,829
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7644047 ← → #7644053

Radix Representation

Decimal 7644051
Binary 11101001010001110010011 (23 bits)
Octal 0o35121623
Hexadecimal 0x74A393

Divisor Catalog (24)

1 3 9 27 81 83 243 249 379 747 1,137 2,241 3,411 6,723 10,233 20,169 30,699 31,457 92,097 94,371 283,113 849,339 2,548,017 7,644,051

Collatz Trajectory (129 steps to reach 1)

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

7,644,051 22,932,154 11,466,077 34,398,232 17,199,116 8,599,558 4,299,779 12,899,338 6,449,669 19,349,008 9,674,504 4,837,252 2,418,626 1,209,313 3,627,940 1,813,970 906,985 2,720,956 1,360,478 680,239 2,040,718 1,020,359 3,061,078 1,530,539 4,591,618 2,295,809 6,887,428 3,443,714 1,721,857 5,165,572 2,582,786 1,291,393 3,874,180 1,937,090 968,545 2,905,636 1,452,818 726,409 2,179,228 1,089,614 544,807 1,634,422 817,211 2,451,634 1,225,817 3,677,452 1,838,726 919,363 2,758,090 1,379,045 4,137,136 2,068,568 1,034,284 517,142 258,571 775,714 387,857 1,163,572 581,786 290,893

More profiles

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