λ
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5,770,520

23 × 5 × 7 × 37 × 557
Abundant Even Composite

5,770,520 factors as 2^3 × 5 × 7 × 37 × 557. Its 64 positive divisors give a proper-divisor sum of 9,496,360, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 37 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,266,880
Proper Divisor Sum 9,496,360
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5770517 ← → #5770529

Radix Representation

Decimal 5770520
Binary 10110000000110100011000 (23 bits)
Octal 0o26006430
Hexadecimal 0x580D18

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 557 740 1,036 1,114 1,295 1,480 2,072 2,228 2,590 2,785 3,899 4,456 5,180 5,570 7,798 10,360 11,140 15,596 19,495 20,609 22,280 31,192 38,990 41,218 77,980 82,436 103,045 144,263 155,960 164,872 206,090 288,526 412,180 577,052 721,315 824,360

Collatz Trajectory (121 steps to reach 1)

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

5,770,520 2,885,260 1,442,630 721,315 2,163,946 1,081,973 3,245,920 1,622,960 811,480 405,740 202,870 101,435 304,306 152,153 456,460 228,230 114,115 342,346 171,173 513,520 256,760 128,380 64,190 32,095 96,286 48,143 144,430 72,215 216,646 108,323 324,970 162,485 487,456 243,728 121,864 60,932 30,466 15,233 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611

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