λ
Prime Ledger

1,565,937

32 × 173993
Deficient Odd Composite

1,565,937 has the prime decomposition 3^2 × 173993. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 173993
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,261,922
Proper Divisor Sum 695,985
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1565933 ← → #1565947

Radix Representation

Decimal 1565937
Binary 101111110010011110001 (21 bits)
Octal 0o5762361
Hexadecimal 0x17E4F1

Divisor Catalog (6)

1 3 9 173,993 521,979 1,565,937

Collatz Trajectory (163 steps to reach 1)

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

1,565,937 4,697,812 2,348,906 1,174,453 3,523,360 1,761,680 880,840 440,420 220,210 110,105 330,316 165,158 82,579 247,738 123,869 371,608 185,804 92,902 46,451 139,354 69,677 209,032 104,516 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47

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