3,677,830

2 × 5 × 13 × 19 × 1489

3,677,830 has digital root 7. The neighboring primes are 3677827 and 3677851; its proper-divisor sum differs from the starting integer by 153,940.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 19 × 1489

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,509,600

Proper Divisor Sum 3,831,770

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3677827 ← → #3677851

Radix Representation

Decimal	3677830
Binary	1110000001111010000110 (22 bits)
Octal	0o16017206
Hexadecimal	0x381E86

Divisor Catalog (32)

1 2 5 10 13 19 26 38 65 95 130 190 247 494 1,235 1,489 2,470 2,978 7,445 14,890 19,357 28,291 38,714 56,582 96,785 141,455 193,570 282,910 367,783 735,566 1,838,915 3,677,830

Collatz Trajectory (159 steps to reach 1)

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

3,677,830 1,838,915 5,516,746 2,758,373 8,275,120 4,137,560 2,068,780 1,034,390 517,195 1,551,586 775,793 2,327,380 1,163,690 581,845 1,745,536 872,768 436,384 218,192 109,096 54,548 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893

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