4,154,715

3² × 5 × 17 × 5431

Starting at 4,154,715, the Collatz iteration reaches 1 after 304 steps. The first transition is 12464146; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 5431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,626,528

Proper Divisor Sum 3,471,813

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4154699 ← → #4154719

Radix Representation

Decimal	4154715
Binary	1111110110010101011011 (22 bits)
Octal	0o17662533
Hexadecimal	0x3F655B

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 5,431 16,293 27,155 48,879 81,465 92,327 244,395 276,981 461,635 830,943 1,384,905 4,154,715

Collatz Trajectory (304 steps to reach 1)

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

4,154,715 12,464,146 6,232,073 18,696,220 9,348,110 4,674,055 14,022,166 7,011,083 21,033,250 10,516,625 31,549,876 15,774,938 7,887,469 23,662,408 11,831,204 5,915,602 2,957,801 8,873,404 4,436,702 2,218,351 6,655,054 3,327,527 9,982,582 4,991,291 14,973,874 7,486,937 22,460,812 11,230,406 5,615,203 16,845,610 8,422,805 25,268,416 12,634,208 6,317,104 3,158,552 1,579,276 789,638 394,819 1,184,458 592,229 1,776,688 888,344 444,172 222,086 111,043 333,130 166,565 499,696 249,848 124,924 62,462 31,231 93,694 46,847 140,542 70,271 210,814 105,407 316,222 158,111

← Previous Integer #4,154,714 Browse Full Index Next Integer #4,154,716 →