3,442,665

3 × 5 × 37 × 6203

Starting at 3,442,665, the Collatz iteration reaches 1 after 221 steps. The first transition is 10327996; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 6203

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,658,048

Proper Divisor Sum 2,215,383

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3442651 ← → #3442679

Radix Representation

Decimal	3442665
Binary	1101001000011111101001 (22 bits)
Octal	0o15103751
Hexadecimal	0x3487E9

Divisor Catalog (16)

1 3 5 15 37 111 185 555 6,203 18,609 31,015 93,045 229,511 688,533 1,147,555 3,442,665

Collatz Trajectory (221 steps to reach 1)

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

3,442,665 10,327,996 5,163,998 2,581,999 7,745,998 3,872,999 11,618,998 5,809,499 17,428,498 8,714,249 26,142,748 13,071,374 6,535,687 19,607,062 9,803,531 29,410,594 14,705,297 44,115,892 22,057,946 11,028,973 33,086,920 16,543,460 8,271,730 4,135,865 12,407,596 6,203,798 3,101,899 9,305,698 4,652,849 13,958,548 6,979,274 3,489,637 10,468,912 5,234,456 2,617,228 1,308,614 654,307 1,962,922 981,461 2,944,384 1,472,192 736,096 368,048 184,024 92,012 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836

← Previous Integer #3,442,664 Browse Full Index Next Integer #3,442,666 →