57,783,456

2⁵ × 3⁶ × 2477

57,783,456 factors as 2^5 × 3^6 × 2477. Its 84 positive divisors give a proper-divisor sum of 112,849,146, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^5 × 3^6 × 2477

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 170,632,602

Proper Divisor Sum 112,849,146

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57783403 ← → #57783461

Radix Representation

Decimal	57783456
Binary	11011100011011010010100000 (26 bits)
Octal	0o334332240
Hexadecimal	0x371B4A0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1,296 1,458 1,944 2,477 2,592 2,916 3,888 4,954 5,832 7,431 7,776 9,908 11,664 14,862 19,816 22,293 23,328 29,724 39,632 44,586 59,448 66,879 79,264 89,172 118,896 133,758 178,344 200,637

Collatz Trajectory (269 steps to reach 1)

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

57,783,456 28,891,728 14,445,864 7,222,932 3,611,466 1,805,733 5,417,200 2,708,600 1,354,300 677,150 338,575 1,015,726 507,863 1,523,590 761,795 2,285,386 1,142,693 3,428,080 1,714,040 857,020 428,510 214,255 642,766 321,383 964,150 482,075 1,446,226 723,113 2,169,340 1,084,670 542,335 1,627,006 813,503 2,440,510 1,220,255 3,660,766 1,830,383 5,491,150 2,745,575 8,236,726 4,118,363 12,355,090 6,177,545 18,532,636 9,266,318 4,633,159 13,899,478 6,949,739 20,849,218 10,424,609 31,273,828 15,636,914 7,818,457 23,455,372 11,727,686 5,863,843 17,591,530 8,795,765 26,387,296 13,193,648

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