λ
Harmonic Matrix

551,915

5 × 7 × 13 × 1213
Deficient Odd Composite

551,915 has digital root 8. The neighboring primes are 551911 and 551917; its proper-divisor sum differs from the starting integer by -288,022.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 815,808
Proper Divisor Sum 263,893
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #551911 ← → #551917

Radix Representation

Decimal 551915
Binary 10000110101111101011 (20 bits)
Octal 0o2065753
Hexadecimal 0x86BEB

Divisor Catalog (16)

1 5 7 13 35 65 91 455 1,213 6,065 8,491 15,769 42,455 78,845 110,383 551,915

Collatz Trajectory (146 steps to reach 1)

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

551,915 1,655,746 827,873 2,483,620 1,241,810 620,905 1,862,716 931,358 465,679 1,397,038 698,519 2,095,558 1,047,779 3,143,338 1,571,669 4,715,008 2,357,504 1,178,752 589,376 294,688 147,344 73,672 36,836 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503

More profiles

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