57,747,646

2 × 11 × 337 × 7789

57,747,646 factors as 2 × 11 × 337 × 7789. Its 16 positive divisors give a proper-divisor sum of 37,041,074, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 11 × 337 × 7789

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 94,788,720

Proper Divisor Sum 37,041,074

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #57747629 ← → #57747647

Radix Representation

Decimal	57747646
Binary	11011100010010100010111110 (26 bits)
Octal	0o334224276
Hexadecimal	0x37128BE

Divisor Catalog (16)

1 2 11 22 337 674 3,707 7,414 7,789 15,578 85,679 171,358 2,624,893 5,249,786 28,873,823 57,747,646

Collatz Trajectory (75 steps to reach 1)

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

57,747,646 28,873,823 86,621,470 43,310,735 129,932,206 64,966,103 194,898,310 97,449,155 292,347,466 146,173,733 438,521,200 219,260,600 109,630,300 54,815,150 27,407,575 82,222,726 41,111,363 123,334,090 61,667,045 185,001,136 92,500,568 46,250,284 23,125,142 11,562,571 34,687,714 17,343,857 52,031,572 26,015,786 13,007,893 39,023,680 19,511,840 9,755,920 4,877,960 2,438,980 1,219,490 609,745 1,829,236 914,618 457,309 1,371,928 685,964 342,982 171,491 514,474 257,237 771,712 385,856 192,928 96,464 48,232 24,116 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696

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