3,716,120

2³ × 5 × 61 × 1523

3,716,120 has digital root 2. The neighboring primes are 3716107 and 3716123; its proper-divisor sum differs from the starting integer by 1,071,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 61 × 1523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,503,920

Proper Divisor Sum 4,787,800

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3716107 ← → #3716123

Radix Representation

Decimal	3716120
Binary	1110001011010000011000 (22 bits)
Octal	0o16132030
Hexadecimal	0x38B418

Divisor Catalog (32)

1 2 4 5 8 10 20 40 61 122 244 305 488 610 1,220 1,523 2,440 3,046 6,092 7,615 12,184 15,230 30,460 60,920 92,903 185,806 371,612 464,515 743,224 929,030 1,858,060 3,716,120

Collatz Trajectory (79 steps to reach 1)

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

3,716,120 1,858,060 929,030 464,515 1,393,546 696,773 2,090,320 1,045,160 522,580 261,290 130,645 391,936 195,968 97,984 48,992 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112

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