λ
Harmonic Matrix

5,761,465

5 × 19 × 60647
Deficient Odd Composite

5,761,465 has digital root 7. The neighboring primes are 5761463 and 5761489; its proper-divisor sum differs from the starting integer by -4,245,170.

Prime Factor Structure

Factorization String 5 × 19 × 60647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,277,760
Proper Divisor Sum 1,516,295
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5761463 ← → #5761489

Radix Representation

Decimal 5761465
Binary 10101111110100110111001 (23 bits)
Octal 0o25764671
Hexadecimal 0x57E9B9

Divisor Catalog (8)

1 5 19 95 60,647 303,235 1,152,293 5,761,465

Collatz Trajectory (95 steps to reach 1)

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

5,761,465 17,284,396 8,642,198 4,321,099 12,963,298 6,481,649 19,444,948 9,722,474 4,861,237 14,583,712 7,291,856 3,645,928 1,822,964 911,482 455,741 1,367,224 683,612 341,806 170,903 512,710 256,355 769,066 384,533 1,153,600 576,800 288,400 144,200 72,100 36,050 18,025 54,076 27,038 13,519 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092

More profiles

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