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Atlas › Integer Profiles › Node 32,201,778

32,201,778

2 × 3 × 7 × 61 × 12569
Abundant Even Composite

32,201,778 factors as 2 × 3 × 7 × 61 × 12569. Its 32 positive divisors give a proper-divisor sum of 42,614,862, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 61 × 12569
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,816,640
Proper Divisor Sum 42,614,862
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #32201773 ← → #32201779

Radix Representation

Decimal 32201778
Binary 1111010110101110000110010 (25 bits)
Octal 0o172656062
Hexadecimal 0x1EB5C32

Divisor Catalog (32)

1 2 3 6 7 14 21 42 61 122 183 366 427 854 1,281 2,562 12,569 25,138 37,707 75,414 87,983 175,966 263,949 527,898 766,709 1,533,418 2,300,127 4,600,254 5,366,963 10,733,926 16,100,889 32,201,778

Collatz Trajectory (95 steps to reach 1)

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

32,201,778 16,100,889 48,302,668 24,151,334 12,075,667 36,227,002 18,113,501 54,340,504 27,170,252 13,585,126 6,792,563 20,377,690 10,188,845 30,566,536 15,283,268 7,641,634 3,820,817 11,462,452 5,731,226 2,865,613 8,596,840 4,298,420 2,149,210 1,074,605 3,223,816 1,611,908 805,954 402,977 1,208,932 604,466 302,233 906,700 453,350 226,675 680,026 340,013 1,020,040 510,020 255,010 127,505 382,516 191,258 95,629 286,888 143,444 71,722 35,861 107,584 53,792 26,896 13,448 6,724 3,362 1,681 5,044 2,522 1,261 3,784 1,892 946

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