λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,765,040

57,765,040

24 × 5 × 722063
Abundant Even Composite

57,765,040 factors as 2^4 × 5 × 722063. Its 20 positive divisors give a proper-divisor sum of 76,538,864, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 722063
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 134,303,904
Proper Divisor Sum 76,538,864
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57765011 ← → #57765053

Radix Representation

Decimal 57765040
Binary 11011100010110110010110000 (26 bits)
Octal 0o334266260
Hexadecimal 0x3716CB0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 722,063 1,444,126 2,888,252 3,610,315 5,776,504 7,220,630 11,553,008 14,441,260 28,882,520 57,765,040

Collatz Trajectory (93 steps to reach 1)

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

57,765,040 28,882,520 14,441,260 7,220,630 3,610,315 10,830,946 5,415,473 16,246,420 8,123,210 4,061,605 12,184,816 6,092,408 3,046,204 1,523,102 761,551 2,284,654 1,142,327 3,426,982 1,713,491 5,140,474 2,570,237 7,710,712 3,855,356 1,927,678 963,839 2,891,518 1,445,759 4,337,278 2,168,639 6,505,918 3,252,959 9,758,878 4,879,439 14,638,318 7,319,159 21,957,478 10,978,739 32,936,218 16,468,109 49,404,328 24,702,164 12,351,082 6,175,541 18,526,624 9,263,312 4,631,656 2,315,828 1,157,914 578,957 1,736,872 868,436 434,218 217,109 651,328 325,664 162,832 81,416 40,708 20,354 10,177

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,765,039 Browse Full Index Next Integer #57,765,041 →