λ
Harmonic Matrix

790,523

790523
Deficient Odd Prime

790,523 has digital root 8. The neighboring primes are 790519 and 790529; its proper-divisor sum differs from the starting integer by -790,522.

Prime Factor Structure

Factorization String 790523
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 790,524
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #790519 ← → #790529

Radix Representation

Decimal 790523
Binary 11000000111111111011 (20 bits)
Octal 0o3007773
Hexadecimal 0xC0FFB

Divisor Catalog (2)

Collatz Trajectory (100 steps to reach 1)

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

790,523 2,371,570 1,185,785 3,557,356 1,778,678 889,339 2,668,018 1,334,009 4,002,028 2,001,014 1,000,507 3,001,522 1,500,761 4,502,284 2,251,142 1,125,571 3,376,714 1,688,357 5,065,072 2,532,536 1,266,268 633,134 316,567 949,702 474,851 1,424,554 712,277 2,136,832 1,068,416 534,208 267,104 133,552 66,776 33,388 16,694 8,347 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015

More profiles

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