3,659,724

2² × 3² × 277 × 367

3,659,724 has digital root 9. The neighboring primes are 3659717 and 3659779; its proper-divisor sum differs from the starting integer by 1,990,216.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 277 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,309,664

Proper Divisor Sum 5,649,940

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3659717 ← → #3659779

Radix Representation

Decimal	3659724
Binary	1101111101011111001100 (22 bits)
Octal	0o15753714
Hexadecimal	0x37D7CC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 277 367 554 734 831 1,101 1,108 1,468 1,662 2,202 2,493 3,303 3,324 4,404 4,986 6,606 9,972 13,212 101,659 203,318 304,977 406,636 609,954 914,931 1,219,908 1,829,862 3,659,724

Collatz Trajectory (159 steps to reach 1)

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

3,659,724 1,829,862 914,931 2,744,794 1,372,397 4,117,192 2,058,596 1,029,298 514,649 1,543,948 771,974 385,987 1,157,962 578,981 1,736,944 868,472 434,236 217,118 108,559 325,678 162,839 488,518 244,259 732,778 366,389 1,099,168 549,584 274,792 137,396 68,698 34,349 103,048 51,524 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646

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