λ
Sigma Notebook

892,997

7 × 29 × 53 × 83
Deficient Odd Composite

892,997 is odd and not a perfect square. Its factorization is 7 × 29 × 53 × 83 and its 16 divisors sum to 1,088,640.

Prime Factor Structure

Factorization String 7 × 29 × 53 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,088,640
Proper Divisor Sum 195,643
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #892987 ← → #892999

Radix Representation

Decimal 892997
Binary 11011010000001000101 (20 bits)
Octal 0o3320105
Hexadecimal 0xDA045

Divisor Catalog (16)

1 7 29 53 83 203 371 581 1,537 2,407 4,399 10,759 16,849 30,793 127,571 892,997

Collatz Trajectory (188 steps to reach 1)

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

892,997 2,678,992 1,339,496 669,748 334,874 167,437 502,312 251,156 125,578 62,789 188,368 94,184 47,092 23,546 11,773 35,320 17,660 8,830 4,415 13,246 6,623 19,870 9,935 29,806 14,903 44,710 22,355 67,066 33,533 100,600 50,300 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000

More profiles

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