λ
Prime Ledger

1,113,509

1113509
Deficient Odd Prime

1,113,509 has the prime decomposition 1113509. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 1113509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,113,510
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1113491 ← → #1113521

Radix Representation

Decimal 1113509
Binary 100001111110110100101 (21 bits)
Octal 0o4176645
Hexadecimal 0x10FDA5

Divisor Catalog (2)

Collatz Trajectory (90 steps to reach 1)

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

1,113,509 3,340,528 1,670,264 835,132 417,566 208,783 626,350 313,175 939,526 469,763 1,409,290 704,645 2,113,936 1,056,968 528,484 264,242 132,121 396,364 198,182 99,091 297,274 148,637 445,912 222,956 111,478 55,739 167,218 83,609 250,828 125,414 62,707 188,122 94,061 282,184 141,092 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525 178,576 89,288 44,644 22,322 11,161 33,484 16,742 8,371 25,114 12,557 37,672 18,836 9,418 4,709 14,128 7,064

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