λ
Integer Codex

927,761

337 × 2753
Deficient Odd Composite

For 927,761, the 4 positive divisors have a total of 930,852. Removing 927,761 leaves 3,091, which gives the deficient classification.

Prime Factor Structure

Factorization String 337 × 2753
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 930,852
Proper Divisor Sum 3,091
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #927743 ← → #927763

Radix Representation

Decimal 927761
Binary 11100010100000010001 (20 bits)
Octal 0o3424021
Hexadecimal 0xE2811

Divisor Catalog (4)

1 337 2,753 927,761

Collatz Trajectory (170 steps to reach 1)

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

927,761 2,783,284 1,391,642 695,821 2,087,464 1,043,732 521,866 260,933 782,800 391,400 195,700 97,850 48,925 146,776 73,388 36,694 18,347 55,042 27,521 82,564 41,282 20,641 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164

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