λ
Harmonic Matrix

722,551

17 × 19 × 2237
Deficient Odd Composite

722,551 has digital root 4. The neighboring primes are 722539 and 722563; its proper-divisor sum differs from the starting integer by -639,422.

Prime Factor Structure

Factorization String 17 × 19 × 2237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 805,680
Proper Divisor Sum 83,129
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #722539 ← → #722563

Radix Representation

Decimal 722551
Binary 10110000011001110111 (20 bits)
Octal 0o2603167
Hexadecimal 0xB0677

Divisor Catalog (8)

1 17 19 323 2,237 38,029 42,503 722,551

Collatz Trajectory (211 steps to reach 1)

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

722,551 2,167,654 1,083,827 3,251,482 1,625,741 4,877,224 2,438,612 1,219,306 609,653 1,828,960 914,480 457,240 228,620 114,310 57,155 171,466 85,733 257,200 128,600 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585

More profiles

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