57,764,609

7 × 43² × 4463

57,764,609 factors as 7 × 43^2 × 4463. Its 12 positive divisors give a proper-divisor sum of 9,838,207, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 7 × 43^2 × 4463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 67,602,816

Proper Divisor Sum 9,838,207

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #57764593 ← → #57764611

Radix Representation

Decimal	57764609
Binary	11011100010110101100000001 (26 bits)
Octal	0o334265401
Hexadecimal	0x3716B01

Divisor Catalog (12)

1 7 43 301 1,849 4,463 12,943 31,241 191,909 1,343,363 8,252,087 57,764,609

Collatz Trajectory (145 steps to reach 1)

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

57,764,609 173,293,828 86,646,914 43,323,457 129,970,372 64,985,186 32,492,593 97,477,780 48,738,890 24,369,445 73,108,336 36,554,168 18,277,084 9,138,542 4,569,271 13,707,814 6,853,907 20,561,722 10,280,861 30,842,584 15,421,292 7,710,646 3,855,323 11,565,970 5,782,985 17,348,956 8,674,478 4,337,239 13,011,718 6,505,859 19,517,578 9,758,789 29,276,368 14,638,184 7,319,092 3,659,546 1,829,773 5,489,320 2,744,660 1,372,330 686,165 2,058,496 1,029,248 514,624 257,312 128,656 64,328 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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