λ
Prime Ledger

5,787,509

7 × 13 × 63599
Deficient Odd Composite

5,787,509 has the prime decomposition 7 × 13 × 63599. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 63599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,123,200
Proper Divisor Sum 1,335,691
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5787493 ← → #5787511

Radix Representation

Decimal 5787509
Binary 10110000100111101110101 (23 bits)
Octal 0o26047565
Hexadecimal 0x584F75

Divisor Catalog (8)

1 7 13 91 63,599 445,193 826,787 5,787,509

Collatz Trajectory (170 steps to reach 1)

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

5,787,509 17,362,528 8,681,264 4,340,632 2,170,316 1,085,158 542,579 1,627,738 813,869 2,441,608 1,220,804 610,402 305,201 915,604 457,802 228,901 686,704 343,352 171,676 85,838 42,919 128,758 64,379 193,138 96,569 289,708 144,854 72,427 217,282 108,641 325,924 162,962 81,481 244,444 122,222 61,111 183,334 91,667 275,002 137,501 412,504 206,252 103,126 51,563 154,690 77,345 232,036 116,018 58,009 174,028 87,014 43,507 130,522 65,261 195,784 97,892 48,946 24,473 73,420 36,710

More profiles

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