3,329,158

2 × 7³ × 23 × 211

Starting at 3,329,158, the Collatz iteration reaches 1 after 283 steps. The first transition is 1664579; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^3 × 23 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,105,600

Proper Divisor Sum 2,776,442

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3329147 ← → #3329173

Radix Representation

Decimal	3329158
Binary	1100101100110010000110 (22 bits)
Octal	0o14546206
Hexadecimal	0x32CC86

Divisor Catalog (32)

1 2 7 14 23 46 49 98 161 211 322 343 422 686 1,127 1,477 2,254 2,954 4,853 7,889 9,706 10,339 15,778 20,678 33,971 67,942 72,373 144,746 237,797 475,594 1,664,579 3,329,158

Collatz Trajectory (283 steps to reach 1)

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

3,329,158 1,664,579 4,993,738 2,496,869 7,490,608 3,745,304 1,872,652 936,326 468,163 1,404,490 702,245 2,106,736 1,053,368 526,684 263,342 131,671 395,014 197,507 592,522 296,261 888,784 444,392 222,196 111,098 55,549 166,648 83,324 41,662 20,831 62,494 31,247 93,742 46,871 140,614 70,307 210,922 105,461 316,384 158,192 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710

← Previous Integer #3,329,157 Browse Full Index Next Integer #3,329,159 →