λ
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46,576,660

22 × 5 × 13 × 359 × 499
Abundant Even Composite

46,576,660 factors as 2^2 × 5 × 13 × 359 × 499. Its 48 positive divisors give a proper-divisor sum of 59,263,340, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 359 × 499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,840,000
Proper Divisor Sum 59,263,340
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #46576631 ← → #46576661

Radix Representation

Decimal 46576660
Binary 10110001101011010000010100 (26 bits)
Octal 0o261532024
Hexadecimal 0x2C6B414

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 130 260 359 499 718 998 1,436 1,795 1,996 2,495 3,590 4,667 4,990 6,487 7,180 9,334 9,980 12,974 18,668 23,335 25,948 32,435 46,670 64,870 93,340 129,740 179,141 358,282 716,564 895,705 1,791,410 2,328,833 3,582,820 4,657,666 9,315,332 11,644,165 23,288,330 46,576,660

Collatz Trajectory (93 steps to reach 1)

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

46,576,660 23,288,330 11,644,165 34,932,496 17,466,248 8,733,124 4,366,562 2,183,281 6,549,844 3,274,922 1,637,461 4,912,384 2,456,192 1,228,096 614,048 307,024 153,512 76,756 38,378 19,189 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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