λ
Integer Codex

498,410

2 × 5 × 11 × 23 × 197
Abundant Even Composite

For 498,410, the 32 positive divisors have a total of 1,026,432. Removing 498,410 leaves 528,022, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 23 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,026,432
Proper Divisor Sum 528,022
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #498409 ← → #498439

Radix Representation

Decimal 498410
Binary 1111001101011101010 (19 bits)
Octal 0o1715352
Hexadecimal 0x79AEA

Divisor Catalog (32)

1 2 5 10 11 22 23 46 55 110 115 197 230 253 394 506 985 1,265 1,970 2,167 2,530 4,334 4,531 9,062 10,835 21,670 22,655 45,310 49,841 99,682 249,205 498,410

Collatz Trajectory (76 steps to reach 1)

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

498,410 249,205 747,616 373,808 186,904 93,452 46,726 23,363 70,090 35,045 105,136 52,568 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 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88

More profiles

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