λ
Harmonic Matrix

5,964,573

3 × 43 × 46237
Deficient Odd Composite

5,964,573 has digital root 3. The neighboring primes are 5964559 and 5964593; its proper-divisor sum differs from the starting integer by -3,791,258.

Prime Factor Structure

Factorization String 3 × 43 × 46237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,137,888
Proper Divisor Sum 2,173,315
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5964559 ← → #5964593

Radix Representation

Decimal 5964573
Binary 10110110000001100011101 (23 bits)
Octal 0o26601435
Hexadecimal 0x5B031D

Divisor Catalog (8)

1 3 43 129 46,237 138,711 1,988,191 5,964,573

Collatz Trajectory (165 steps to reach 1)

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

5,964,573 17,893,720 8,946,860 4,473,430 2,236,715 6,710,146 3,355,073 10,065,220 5,032,610 2,516,305 7,548,916 3,774,458 1,887,229 5,661,688 2,830,844 1,415,422 707,711 2,123,134 1,061,567 3,184,702 1,592,351 4,777,054 2,388,527 7,165,582 3,582,791 10,748,374 5,374,187 16,122,562 8,061,281 24,183,844 12,091,922 6,045,961 18,137,884 9,068,942 4,534,471 13,603,414 6,801,707 20,405,122 10,202,561 30,607,684 15,303,842 7,651,921 22,955,764 11,477,882 5,738,941 17,216,824 8,608,412 4,304,206 2,152,103 6,456,310 3,228,155 9,684,466 4,842,233 14,526,700 7,263,350 3,631,675 10,895,026 5,447,513 16,342,540 8,171,270

More profiles

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