2,536,740

2² × 3² × 5 × 17 × 829

2,536,740 factors as 2^2 × 3^2 × 5 × 17 × 829. Its 72 positive divisors give a proper-divisor sum of 5,620,500, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 829

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,157,240

Proper Divisor Sum 5,620,500

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2536733 ← → #2536753

Radix Representation

Decimal	2536740
Binary	1001101011010100100100 (22 bits)
Octal	0o11532444
Hexadecimal	0x26B524

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 829 1,020 1,530 1,658 2,487 3,060 3,316 4,145 4,974 7,461 8,290 9,948 12,435 14,093 14,922 16,580 24,870 28,186 29,844 37,305 42,279 49,740 56,372 70,465 74,610 84,558 126,837

Collatz Trajectory (104 steps to reach 1)

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

2,536,740 1,268,370 634,185 1,902,556 951,278 475,639 1,426,918 713,459 2,140,378 1,070,189 3,210,568 1,605,284 802,642 401,321 1,203,964 601,982 300,991 902,974 451,487 1,354,462 677,231 2,031,694 1,015,847 3,047,542 1,523,771 4,571,314 2,285,657 6,856,972 3,428,486 1,714,243 5,142,730 2,571,365 7,714,096 3,857,048 1,928,524 964,262 482,131 1,446,394 723,197 2,169,592 1,084,796 542,398 271,199 813,598 406,799 1,220,398 610,199 1,830,598 915,299 2,745,898 1,372,949 4,118,848 2,059,424 1,029,712 514,856 257,428 128,714 64,357 193,072 96,536

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