λ
Prime Ledger

7,418,476

22 × 13 × 179 × 797
Deficient Even Composite

7,418,476 has the prime decomposition 2^2 × 13 × 179 × 797. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 179 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,076,720
Proper Divisor Sum 6,658,244
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7418473 ← → #7418491

Radix Representation

Decimal 7418476
Binary 11100010011001001101100 (23 bits)
Octal 0o34231154
Hexadecimal 0x71326C

Divisor Catalog (24)

1 2 4 13 26 52 179 358 716 797 1,594 2,327 3,188 4,654 9,308 10,361 20,722 41,444 142,663 285,326 570,652 1,854,619 3,709,238 7,418,476

Collatz Trajectory (186 steps to reach 1)

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

7,418,476 3,709,238 1,854,619 5,563,858 2,781,929 8,345,788 4,172,894 2,086,447 6,259,342 3,129,671 9,389,014 4,694,507 14,083,522 7,041,761 21,125,284 10,562,642 5,281,321 15,843,964 7,921,982 3,960,991 11,882,974 5,941,487 17,824,462 8,912,231 26,736,694 13,368,347 40,105,042 20,052,521 60,157,564 30,078,782 15,039,391 45,118,174 22,559,087 67,677,262 33,838,631 101,515,894 50,757,947 152,273,842 76,136,921 228,410,764 114,205,382 57,102,691 171,308,074 85,654,037 256,962,112 128,481,056 64,240,528 32,120,264 16,060,132 8,030,066 4,015,033 12,045,100 6,022,550 3,011,275 9,033,826 4,516,913 13,550,740 6,775,370 3,387,685 10,163,056

More profiles

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