λ
Harmonic Matrix

5,834,628

22 × 32 × 41 × 59 × 67
Abundant Even Composite

5,834,628 has digital root 9. The neighboring primes are 5834623 and 5834629; its proper-divisor sum differs from the starting integer by 3,924,504.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 59 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 15,593,760
Proper Divisor Sum 9,759,132
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5834623 ← → #5834629

Radix Representation

Decimal 5834628
Binary 10110010000011110000100 (23 bits)
Octal 0o26203604
Hexadecimal 0x590784

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 41 59 67 82 118 123 134 164 177 201 236 246 268 354 369 402 492 531 603 708 738 804 1,062 1,206 1,476 2,124 2,412 2,419 2,747 3,953 4,838 5,494 7,257 7,906 8,241 9,676 10,988 11,859 14,514 15,812 16,482 21,771 23,718 24,723 29,028 32,964 35,577 43,542 47,436 49,446 71,154

Collatz Trajectory (183 steps to reach 1)

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

5,834,628 2,917,314 1,458,657 4,375,972 2,187,986 1,093,993 3,281,980 1,640,990 820,495 2,461,486 1,230,743 3,692,230 1,846,115 5,538,346 2,769,173 8,307,520 4,153,760 2,076,880 1,038,440 519,220 259,610 129,805 389,416 194,708 97,354 48,677 146,032 73,016 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030

More profiles

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