λ
Integer Codex

365,964

22 × 3 × 30497
Abundant Even Composite

For 365,964, the 12 positive divisors have a total of 853,944. Removing 365,964 leaves 487,980, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 30497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 853,944
Proper Divisor Sum 487,980
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #365941 ← → #365969

Radix Representation

Decimal 365964
Binary 1011001010110001100 (19 bits)
Octal 0o1312614
Hexadecimal 0x5958C

Divisor Catalog (12)

1 2 3 4 6 12 30,497 60,994 91,491 121,988 182,982 365,964

Collatz Trajectory (73 steps to reach 1)

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

365,964 182,982 91,491 274,474 137,237 411,712 205,856 102,928 51,464 25,732 12,866 6,433 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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