λ
Prime Ledger

5,561,991

32 × 409 × 1511
Deficient Odd Composite

5,561,991 has the prime decomposition 3^2 × 409 × 1511. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 409 × 1511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,058,960
Proper Divisor Sum 2,496,969
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5561981 ← → #5561993

Radix Representation

Decimal 5561991
Binary 10101001101111010000111 (23 bits)
Octal 0o25157207
Hexadecimal 0x54DE87

Divisor Catalog (12)

1 3 9 409 1,227 1,511 3,681 4,533 13,599 617,999 1,853,997 5,561,991

Collatz Trajectory (214 steps to reach 1)

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

5,561,991 16,685,974 8,342,987 25,028,962 12,514,481 37,543,444 18,771,722 9,385,861 28,157,584 14,078,792 7,039,396 3,519,698 1,759,849 5,279,548 2,639,774 1,319,887 3,959,662 1,979,831 5,939,494 2,969,747 8,909,242 4,454,621 13,363,864 6,681,932 3,340,966 1,670,483 5,011,450 2,505,725 7,517,176 3,758,588 1,879,294 939,647 2,818,942 1,409,471 4,228,414 2,114,207 6,342,622 3,171,311 9,513,934 4,756,967 14,270,902 7,135,451 21,406,354 10,703,177 32,109,532 16,054,766 8,027,383 24,082,150 12,041,075 36,123,226 18,061,613 54,184,840 27,092,420 13,546,210 6,773,105 20,319,316 10,159,658 5,079,829 15,239,488 7,619,744

More profiles

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