λ
Sequence Observatory

4,740,125

53 × 13 × 2917
Deficient Odd Composite

Starting at 4,740,125, the Collatz iteration reaches 1 after 268 steps. The first transition is 14220376; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 13 × 2917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,372,912
Proper Divisor Sum 1,632,787
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4740103 ← → #4740143

Radix Representation

Decimal 4740125
Binary 10010000101010000011101 (23 bits)
Octal 0o22052035
Hexadecimal 0x48541D

Divisor Catalog (16)

1 5 13 25 65 125 325 1,625 2,917 14,585 37,921 72,925 189,605 364,625 948,025 4,740,125

Collatz Trajectory (268 steps to reach 1)

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

4,740,125 14,220,376 7,110,188 3,555,094 1,777,547 5,332,642 2,666,321 7,998,964 3,999,482 1,999,741 5,999,224 2,999,612 1,499,806 749,903 2,249,710 1,124,855 3,374,566 1,687,283 5,061,850 2,530,925 7,592,776 3,796,388 1,898,194 949,097 2,847,292 1,423,646 711,823 2,135,470 1,067,735 3,203,206 1,601,603 4,804,810 2,402,405 7,207,216 3,603,608 1,801,804 900,902 450,451 1,351,354 675,677 2,027,032 1,013,516 506,758 253,379 760,138 380,069 1,140,208 570,104 285,052 142,526 71,263 213,790 106,895 320,686 160,343 481,030 240,515 721,546 360,773 1,082,320

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