λ
Prime Ledger

7,565,265

33 × 5 × 56039
Deficient Odd Composite

7,565,265 has the prime decomposition 3^3 × 5 × 56039. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 56039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,449,600
Proper Divisor Sum 5,884,335
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7565191 ← → #7565303

Radix Representation

Decimal 7565265
Binary 11100110110111111010001 (23 bits)
Octal 0o34667721
Hexadecimal 0x736FD1

Divisor Catalog (16)

1 3 5 9 15 27 45 135 56,039 168,117 280,195 504,351 840,585 1,513,053 2,521,755 7,565,265

Collatz Trajectory (129 steps to reach 1)

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

7,565,265 22,695,796 11,347,898 5,673,949 17,021,848 8,510,924 4,255,462 2,127,731 6,383,194 3,191,597 9,574,792 4,787,396 2,393,698 1,196,849 3,590,548 1,795,274 897,637 2,692,912 1,346,456 673,228 336,614 168,307 504,922 252,461 757,384 378,692 189,346 94,673 284,020 142,010 71,005 213,016 106,508 53,254 26,627 79,882 39,941 119,824 59,912 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336

More profiles

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