2,523,500

2² × 5³ × 7² × 103

2,523,500 factors as 2^2 × 5^3 × 7^2 × 103. Its 72 positive divisors give a proper-divisor sum of 3,949,876, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7^2 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 6,473,376

Proper Divisor Sum 3,949,876

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2523487 ← → #2523503

Radix Representation

Decimal	2523500
Binary	1001101000000101101100 (22 bits)
Octal	0o11500554
Hexadecimal	0x26816C

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 103 125 140 175 196 206 245 250 350 412 490 500 515 700 721 875 980 1,030 1,225 1,442 1,750 2,060 2,450 2,575 2,884 3,500 3,605 4,900 5,047 5,150 6,125 7,210 10,094 10,300 12,250 12,875 14,420 18,025 20,188 24,500 25,235 25,750 36,050 50,470

Collatz Trajectory (104 steps to reach 1)

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

2,523,500 1,261,750 630,875 1,892,626 946,313 2,838,940 1,419,470 709,735 2,129,206 1,064,603 3,193,810 1,596,905 4,790,716 2,395,358 1,197,679 3,593,038 1,796,519 5,389,558 2,694,779 8,084,338 4,042,169 12,126,508 6,063,254 3,031,627 9,094,882 4,547,441 13,642,324 6,821,162 3,410,581 10,231,744 5,115,872 2,557,936 1,278,968 639,484 319,742 159,871 479,614 239,807 719,422 359,711 1,079,134 539,567 1,618,702 809,351 2,428,054 1,214,027 3,642,082 1,821,041 5,463,124 2,731,562 1,365,781 4,097,344 2,048,672 1,024,336 512,168 256,084 128,042 64,021 192,064 96,032

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #2,523,499 Browse Full Index Next Integer #2,523,501 →