722,793

3 × 197 × 1223

722,793 has digital root 3. The neighboring primes are 722791 and 722797; its proper-divisor sum differs from the starting integer by -476,178.

Prime Factor Structure

Factorization String 3 × 197 × 1223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 969,408

Proper Divisor Sum 246,615

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #722791 ← → #722797

Radix Representation

Decimal	722793
Binary	10110000011101101001 (20 bits)
Octal	0o2603551
Hexadecimal	0xB0769

Divisor Catalog (8)

1 3 197 591 1,223 3,669 240,931 722,793

Collatz Trajectory (48 steps to reach 1)

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

722,793 2,168,380 1,084,190 542,095 1,626,286 813,143 2,439,430 1,219,715 3,659,146 1,829,573 5,488,720 2,744,360 1,372,180 686,090 343,045 1,029,136 514,568 257,284 128,642 64,321 192,964 96,482 48,241 144,724 72,362 36,181 108,544 54,272 27,136 13,568 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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