λ
Prime Ledger

2,615,729

193 × 13553
Deficient Odd Composite

2,615,729 has the prime decomposition 193 × 13553. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 193 × 13553
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,629,476
Proper Divisor Sum 13,747
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2615719 ← → #2615731

Radix Representation

Decimal 2615729
Binary 1001111110100110110001 (22 bits)
Octal 0o11764661
Hexadecimal 0x27E9B1

Divisor Catalog (4)

1 193 13,553 2,615,729

Collatz Trajectory (218 steps to reach 1)

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

2,615,729 7,847,188 3,923,594 1,961,797 5,885,392 2,942,696 1,471,348 735,674 367,837 1,103,512 551,756 275,878 137,939 413,818 206,909 620,728 310,364 155,182 77,591 232,774 116,387 349,162 174,581 523,744 261,872 130,936 65,468 32,734 16,367 49,102 24,551 73,654 36,827 110,482 55,241 165,724 82,862 41,431 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246 22,123 66,370 33,185 99,556

More profiles

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