37,315,768

2³ × 7 × 666353

37,315,768 factors as 2^3 × 7 × 666353. Its 16 positive divisors give a proper-divisor sum of 42,646,712, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 666353

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 79,962,480

Proper Divisor Sum 42,646,712

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #37315741 ← → #37315769

Radix Representation

Decimal	37315768
Binary	10001110010110010010111000 (26 bits)
Octal	0o216262270
Hexadecimal	0x23964B8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 666,353 1,332,706 2,665,412 4,664,471 5,330,824 9,328,942 18,657,884 37,315,768

Collatz Trajectory (152 steps to reach 1)

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

37,315,768 18,657,884 9,328,942 4,664,471 13,993,414 6,996,707 20,990,122 10,495,061 31,485,184 15,742,592 7,871,296 3,935,648 1,967,824 983,912 491,956 245,978 122,989 368,968 184,484 92,242 46,121 138,364 69,182 34,591 103,774 51,887 155,662 77,831 233,494 116,747 350,242 175,121 525,364 262,682 131,341 394,024 197,012 98,506 49,253 147,760 73,880 36,940 18,470 9,235 27,706 13,853 41,560 20,780 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096

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