λ
Sigma Notebook

836,913

3 × 7 × 11 × 3623
Deficient Odd Composite

836,913 is odd and not a perfect square. Its factorization is 3 × 7 × 11 × 3623 and its 16 divisors sum to 1,391,616.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 3623
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,391,616
Proper Divisor Sum 554,703
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #836881 ← → #836917

Radix Representation

Decimal 836913
Binary 11001100010100110001 (20 bits)
Octal 0o3142461
Hexadecimal 0xCC531

Divisor Catalog (16)

1 3 7 11 21 33 77 231 3,623 10,869 25,361 39,853 76,083 119,559 278,971 836,913

Collatz Trajectory (113 steps to reach 1)

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

836,913 2,510,740 1,255,370 627,685 1,883,056 941,528 470,764 235,382 117,691 353,074 176,537 529,612 264,806 132,403 397,210 198,605 595,816 297,908 148,954 74,477 223,432 111,716 55,858 27,929 83,788 41,894 20,947 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886

More profiles

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