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Atlas › Integer Profiles › Node 2,537,108

2,537,108

22 × 7 × 192 × 251
Abundant Even Composite

2,537,108 factors as 2^2 × 7 × 19^2 × 251. Its 36 positive divisors give a proper-divisor sum of 2,839,564, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19^2 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,376,672
Proper Divisor Sum 2,839,564
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2537083 ← → #2537111

Radix Representation

Decimal 2537108
Binary 1001101011011010010100 (22 bits)
Octal 0o11533224
Hexadecimal 0x26B694

Divisor Catalog (36)

1 2 4 7 14 19 28 38 76 133 251 266 361 502 532 722 1,004 1,444 1,757 2,527 3,514 4,769 5,054 7,028 9,538 10,108 19,076 33,383 66,766 90,611 133,532 181,222 362,444 634,277 1,268,554 2,537,108

Collatz Trajectory (130 steps to reach 1)

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

2,537,108 1,268,554 634,277 1,902,832 951,416 475,708 237,854 118,927 356,782 178,391 535,174 267,587 802,762 401,381 1,204,144 602,072 301,036 150,518 75,259 225,778 112,889 338,668 169,334 84,667 254,002 127,001 381,004 190,502 95,251 285,754 142,877 428,632 214,316 107,158 53,579 160,738 80,369 241,108 120,554 60,277 180,832 90,416 45,208 22,604 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683

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