λ
Modular Archive

722,636

22 × 17 × 10627
Deficient Even Composite

The decimal integer 722,636 is 10110000011011001100 in binary (20 bits), 2603314 in octal and B06CC in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 2^2 × 17 × 10627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,339,128
Proper Divisor Sum 616,492
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #722633 ← → #722639

Radix Representation

Decimal 722636
Binary 10110000011011001100 (20 bits)
Octal 0o2603314
Hexadecimal 0xB06CC

Divisor Catalog (12)

1 2 4 17 34 68 10,627 21,254 42,508 180,659 361,318 722,636

Collatz Trajectory (211 steps to reach 1)

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

722,636 361,318 180,659 541,978 270,989 812,968 406,484 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585

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