λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,052,100

8,052,100

22 × 52 × 7 × 11503
Abundant Even Composite

8,052,100 factors as 2^2 × 5^2 × 7 × 11503. Its 36 positive divisors give a proper-divisor sum of 11,918,844, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 11503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 19,970,944
Proper Divisor Sum 11,918,844
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #8052089 ← → #8052103

Radix Representation

Decimal 8052100
Binary 11110101101110110000100 (23 bits)
Octal 0o36556604
Hexadecimal 0x7ADD84

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 11,503 23,006 46,012 57,515 80,521 115,030 161,042 230,060 287,575 322,084 402,605 575,150 805,210 1,150,300 1,610,420 2,013,025 4,026,050 8,052,100

Collatz Trajectory (93 steps to reach 1)

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

8,052,100 4,026,050 2,013,025 6,039,076 3,019,538 1,509,769 4,529,308 2,264,654 1,132,327 3,396,982 1,698,491 5,095,474 2,547,737 7,643,212 3,821,606 1,910,803 5,732,410 2,866,205 8,598,616 4,299,308 2,149,654 1,074,827 3,224,482 1,612,241 4,836,724 2,418,362 1,209,181 3,627,544 1,813,772 906,886 453,443 1,360,330 680,165 2,040,496 1,020,248 510,124 255,062 127,531 382,594 191,297 573,892 286,946 143,473 430,420 215,210 107,605 322,816 161,408 80,704 40,352 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420

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 #8,052,099 Browse Full Index Next Integer #8,052,101 →