λ
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2,503,592

23 × 7 × 13 × 19 × 181
Abundant Even Composite

2,503,592 factors as 2^3 × 7 × 13 × 19 × 181. Its 64 positive divisors give a proper-divisor sum of 3,611,608, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 19 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,115,200
Proper Divisor Sum 3,611,608
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2503577 ← → #2503597

Radix Representation

Decimal 2503592
Binary 1001100011001110101000 (22 bits)
Octal 0o11431650
Hexadecimal 0x2633A8

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 181 182 247 266 362 364 494 532 724 728 988 1,064 1,267 1,448 1,729 1,976 2,353 2,534 3,439 3,458 4,706 5,068 6,878 6,916 9,412 10,136 13,756 13,832 16,471 18,824 24,073 27,512 32,942 44,707 48,146 65,884 89,414 96,292 131,768 178,828 192,584 312,949

Collatz Trajectory (86 steps to reach 1)

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

2,503,592 1,251,796 625,898 312,949 938,848 469,424 234,712 117,356 58,678 29,339 88,018 44,009 132,028 66,014 33,007 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236 158,618 79,309 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648

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