λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,618,776

57,618,776

23 × 41 × 97 × 1811
Deficient Even Composite

57,618,776 factors as 2^3 × 41 × 97 × 1811. Its 32 positive divisors give a proper-divisor sum of 54,254,104, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 97 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 111,872,880
Proper Divisor Sum 54,254,104
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #57618733 ← → #57618787

Radix Representation

Decimal 57618776
Binary 11011011110011000101011000 (26 bits)
Octal 0o333630530
Hexadecimal 0x36F3158

Divisor Catalog (32)

1 2 4 8 41 82 97 164 194 328 388 776 1,811 3,622 3,977 7,244 7,954 14,488 15,908 31,816 74,251 148,502 175,667 297,004 351,334 594,008 702,668 1,405,336 7,202,347 14,404,694 28,809,388 57,618,776

Collatz Trajectory (93 steps to reach 1)

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

57,618,776 28,809,388 14,404,694 7,202,347 21,607,042 10,803,521 32,410,564 16,205,282 8,102,641 24,307,924 12,153,962 6,076,981 18,230,944 9,115,472 4,557,736 2,278,868 1,139,434 569,717 1,709,152 854,576 427,288 213,644 106,822 53,411 160,234 80,117 240,352 120,176 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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 #57,618,775 Browse Full Index Next Integer #57,618,777 →