λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,642,400

1,642,400

25 × 52 × 2053
Abundant Even Composite

1,642,400 factors as 2^5 × 5^2 × 2053. Its 36 positive divisors give a proper-divisor sum of 2,369,062, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 2053
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,011,462
Proper Divisor Sum 2,369,062
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1642397 ← → #1642423

Radix Representation

Decimal 1642400
Binary 110010000111110100000 (21 bits)
Octal 0o6207640
Hexadecimal 0x190FA0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2,053 4,106 8,212 10,265 16,424 20,530 32,848 41,060 51,325 65,696 82,120 102,650 164,240 205,300 328,480 410,600 821,200 1,642,400

Collatz Trajectory (83 steps to reach 1)

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

1,642,400 821,200 410,600 205,300 102,650 51,325 153,976 76,988 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49

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 #1,642,399 Browse Full Index Next Integer #1,642,401 →