λ
Integer Codex

745,284

22 × 3 × 173 × 359
Abundant Even Composite

For 745,284, the 24 positive divisors have a total of 1,753,920. Removing 745,284 leaves 1,008,636, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 173 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,753,920
Proper Divisor Sum 1,008,636
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #745273 ← → #745301

Radix Representation

Decimal 745284
Binary 10110101111101000100 (20 bits)
Octal 0o2657504
Hexadecimal 0xB5F44

Divisor Catalog (24)

1 2 3 4 6 12 173 346 359 519 692 718 1,038 1,077 1,436 2,076 2,154 4,308 62,107 124,214 186,321 248,428 372,642 745,284

Collatz Trajectory (61 steps to reach 1)

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

745,284 372,642 186,321 558,964 279,482 139,741 419,224 209,612 104,806 52,403 157,210 78,605 235,816 117,908 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

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