λ
Harmonic Matrix

5,184,761

83 × 62467
Deficient Odd Composite

5,184,761 has digital root 5. The neighboring primes are 5184757 and 5184763; its proper-divisor sum differs from the starting integer by -5,122,210.

Prime Factor Structure

Factorization String 83 × 62467
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,247,312
Proper Divisor Sum 62,551
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5184757 ← → #5184763

Radix Representation

Decimal 5184761
Binary 10011110001110011111001 (23 bits)
Octal 0o23616371
Hexadecimal 0x4F1CF9

Divisor Catalog (4)

1 83 62,467 5,184,761

Collatz Trajectory (175 steps to reach 1)

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

5,184,761 15,554,284 7,777,142 3,888,571 11,665,714 5,832,857 17,498,572 8,749,286 4,374,643 13,123,930 6,561,965 19,685,896 9,842,948 4,921,474 2,460,737 7,382,212 3,691,106 1,845,553 5,536,660 2,768,330 1,384,165 4,152,496 2,076,248 1,038,124 519,062 259,531 778,594 389,297 1,167,892 583,946 291,973 875,920 437,960 218,980 109,490 54,745 164,236 82,118 41,059 123,178 61,589 184,768 92,384 46,192 23,096 11,548 5,774 2,887 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483

More profiles

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