λ
Harmonic Matrix

979,529

979529
Deficient Odd Prime

979,529 has digital root 5. The neighboring primes are 979519 and 979541; its proper-divisor sum differs from the starting integer by -979,528.

Prime Factor Structure

Factorization String 979529
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 979,530
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #979519 ← → #979541

Radix Representation

Decimal 979529
Binary 11101111001001001001 (20 bits)
Octal 0o3571111
Hexadecimal 0xEF249

Divisor Catalog (2)

Collatz Trajectory (152 steps to reach 1)

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

979,529 2,938,588 1,469,294 734,647 2,203,942 1,101,971 3,305,914 1,652,957 4,958,872 2,479,436 1,239,718 619,859 1,859,578 929,789 2,789,368 1,394,684 697,342 348,671 1,046,014 523,007 1,569,022 784,511 2,353,534 1,176,767 3,530,302 1,765,151 5,295,454 2,647,727 7,943,182 3,971,591 11,914,774 5,957,387 17,872,162 8,936,081 26,808,244 13,404,122 6,702,061 20,106,184 10,053,092 5,026,546 2,513,273 7,539,820 3,769,910 1,884,955 5,654,866 2,827,433 8,482,300 4,241,150 2,120,575 6,361,726 3,180,863 9,542,590 4,771,295 14,313,886 7,156,943 21,470,830 10,735,415 32,206,246 16,103,123 48,309,370

More profiles

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