λ
Integer Codex

491,609

83 × 5923
Deficient Odd Composite

For 491,609, the 4 positive divisors have a total of 497,616. Removing 491,609 leaves 6,007, which gives the deficient classification.

Prime Factor Structure

Factorization String 83 × 5923
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 497,616
Proper Divisor Sum 6,007
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #491593 ← → #491611

Radix Representation

Decimal 491609
Binary 1111000000001011001 (19 bits)
Octal 0o1700131
Hexadecimal 0x78059

Divisor Catalog (4)

1 83 5,923 491,609

Collatz Trajectory (107 steps to reach 1)

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

491,609 1,474,828 737,414 368,707 1,106,122 553,061 1,659,184 829,592 414,796 207,398 103,699 311,098 155,549 466,648 233,324 116,662 58,331 174,994 87,497 262,492 131,246 65,623 196,870 98,435 295,306 147,653 442,960 221,480 110,740 55,370 27,685 83,056 41,528 20,764 10,382 5,191 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718

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