57,742,815

3 × 5 × 13 × 296117

57,742,815 factors as 3 × 5 × 13 × 296117. Its 16 positive divisors give a proper-divisor sum of 41,752,833, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 296117

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 99,495,648

Proper Divisor Sum 41,752,833

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #57742793 ← → #57742819

Radix Representation

Decimal	57742815
Binary	11011100010001010111011111 (26 bits)
Octal	0o334212737
Hexadecimal	0x37115DF

Divisor Catalog (16)

1 3 5 13 15 39 65 195 296,117 888,351 1,480,585 3,849,521 4,441,755 11,548,563 19,247,605 57,742,815

Collatz Trajectory (145 steps to reach 1)

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

57,742,815 173,228,446 86,614,223 259,842,670 129,921,335 389,764,006 194,882,003 584,646,010 292,323,005 876,969,016 438,484,508 219,242,254 109,621,127 328,863,382 164,431,691 493,295,074 246,647,537 739,942,612 369,971,306 184,985,653 554,956,960 277,478,480 138,739,240 69,369,620 34,684,810 17,342,405 52,027,216 26,013,608 13,006,804 6,503,402 3,251,701 9,755,104 4,877,552 2,438,776 1,219,388 609,694 304,847 914,542 457,271 1,371,814 685,907 2,057,722 1,028,861 3,086,584 1,543,292 771,646 385,823 1,157,470 578,735 1,736,206 868,103 2,604,310 1,302,155 3,906,466 1,953,233 5,859,700 2,929,850 1,464,925 4,394,776 2,197,388

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