3,791,736

2³ × 3² × 13 × 4051

3,791,736 has digital root 9. The neighboring primes are 3791719 and 3791741; its proper-divisor sum differs from the starting integer by 3,478,488.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 4051

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,061,960

Proper Divisor Sum 7,270,224

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3791719 ← → #3791741

Radix Representation

Decimal	3791736
Binary	1110011101101101111000 (22 bits)
Octal	0o16355570
Hexadecimal	0x39DB78

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4,051 8,102 12,153 16,204 24,306 32,408 36,459 48,612 52,663 72,918 97,224 105,326 145,836 157,989 210,652 291,672 315,978 421,304 473,967 631,956 947,934 1,263,912 1,895,868 3,791,736

Collatz Trajectory (216 steps to reach 1)

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

3,791,736 1,895,868 947,934 473,967 1,421,902 710,951 2,132,854 1,066,427 3,199,282 1,599,641 4,798,924 2,399,462 1,199,731 3,599,194 1,799,597 5,398,792 2,699,396 1,349,698 674,849 2,024,548 1,012,274 506,137 1,518,412 759,206 379,603 1,138,810 569,405 1,708,216 854,108 427,054 213,527 640,582 320,291 960,874 480,437 1,441,312 720,656 360,328 180,164 90,082 45,041 135,124 67,562 33,781 101,344 50,672 25,336 12,668 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056

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