λ
Harmonic Matrix

3,585,839

241 × 14879
Deficient Odd Composite

3,585,839 has digital root 5. The neighboring primes are 3585823 and 3585859; its proper-divisor sum differs from the starting integer by -3,570,718.

Prime Factor Structure

Factorization String 241 × 14879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,600,960
Proper Divisor Sum 15,121
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3585823 ← → #3585859

Radix Representation

Decimal 3585839
Binary 1101101011011100101111 (22 bits)
Octal 0o15533457
Hexadecimal 0x36B72F

Divisor Catalog (4)

1 241 14,879 3,585,839

Collatz Trajectory (97 steps to reach 1)

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

3,585,839 10,757,518 5,378,759 16,136,278 8,068,139 24,204,418 12,102,209 36,306,628 18,153,314 9,076,657 27,229,972 13,614,986 6,807,493 20,422,480 10,211,240 5,105,620 2,552,810 1,276,405 3,829,216 1,914,608 957,304 478,652 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632

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