λ
Prime Ledger

4,672,479

3 × 7 × 222499
Deficient Odd Composite

4,672,479 has the prime decomposition 3 × 7 × 222499. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 222499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,120,000
Proper Divisor Sum 2,447,521
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4672469 ← → #4672487

Radix Representation

Decimal 4672479
Binary 10001110100101111011111 (23 bits)
Octal 0o21645737
Hexadecimal 0x474BDF

Divisor Catalog (8)

1 3 7 21 222,499 667,497 1,557,493 4,672,479

Collatz Trajectory (180 steps to reach 1)

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

4,672,479 14,017,438 7,008,719 21,026,158 10,513,079 31,539,238 15,769,619 47,308,858 23,654,429 70,963,288 35,481,644 17,740,822 8,870,411 26,611,234 13,305,617 39,916,852 19,958,426 9,979,213 29,937,640 14,968,820 7,484,410 3,742,205 11,226,616 5,613,308 2,806,654 1,403,327 4,209,982 2,104,991 6,314,974 3,157,487 9,472,462 4,736,231 14,208,694 7,104,347 21,313,042 10,656,521 31,969,564 15,984,782 7,992,391 23,977,174 11,988,587 35,965,762 17,982,881 53,948,644 26,974,322 13,487,161 40,461,484 20,230,742 10,115,371 30,346,114 15,173,057 45,519,172 22,759,586 11,379,793 34,139,380 17,069,690 8,534,845 25,604,536 12,802,268 6,401,134

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