λ
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2,396,590

2 × 5 × 72 × 67 × 73
Abundant Even Composite

2,396,590 factors as 2 × 5 × 7^2 × 67 × 73. Its 48 positive divisors give a proper-divisor sum of 2,766,242, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 67 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,162,832
Proper Divisor Sum 2,766,242
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2396587 ← → #2396591

Radix Representation

Decimal 2396590
Binary 1001001001000110101110 (22 bits)
Octal 0o11110656
Hexadecimal 0x2491AE

Divisor Catalog (48)

1 2 5 7 10 14 35 49 67 70 73 98 134 146 245 335 365 469 490 511 670 730 938 1,022 2,345 2,555 3,283 3,577 4,690 4,891 5,110 6,566 7,154 9,782 16,415 17,885 24,455 32,830 34,237 35,770 48,910 68,474 171,185 239,659 342,370 479,318 1,198,295 2,396,590

Collatz Trajectory (192 steps to reach 1)

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

2,396,590 1,198,295 3,594,886 1,797,443 5,392,330 2,696,165 8,088,496 4,044,248 2,022,124 1,011,062 505,531 1,516,594 758,297 2,274,892 1,137,446 568,723 1,706,170 853,085 2,559,256 1,279,628 639,814 319,907 959,722 479,861 1,439,584 719,792 359,896 179,948 89,974 44,987 134,962 67,481 202,444 101,222 50,611 151,834 75,917 227,752 113,876 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537

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