2,829,582

2 × 3² × 7 × 17 × 1321

Starting at 2,829,582, the Collatz iteration reaches 1 after 213 steps. The first transition is 1414791; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 1321

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,424,352

Proper Divisor Sum 4,594,770

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2829571 ← → #2829583

Radix Representation

Decimal	2829582
Binary	1010110010110100001110 (22 bits)
Octal	0o12626416
Hexadecimal	0x2B2D0E

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 1,321 2,142 2,642 3,963 7,926 9,247 11,889 18,494 22,457 23,778 27,741 44,914 55,482 67,371 83,223 134,742 157,199 166,446 202,113 314,398 404,226 471,597 943,194 1,414,791 2,829,582

Collatz Trajectory (213 steps to reach 1)

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

2,829,582 1,414,791 4,244,374 2,122,187 6,366,562 3,183,281 9,549,844 4,774,922 2,387,461 7,162,384 3,581,192 1,790,596 895,298 447,649 1,342,948 671,474 335,737 1,007,212 503,606 251,803 755,410 377,705 1,133,116 566,558 283,279 849,838 424,919 1,274,758 637,379 1,912,138 956,069 2,868,208 1,434,104 717,052 358,526 179,263 537,790 268,895 806,686 403,343 1,210,030 605,015 1,815,046 907,523 2,722,570 1,361,285 4,083,856 2,041,928 1,020,964 510,482 255,241 765,724 382,862 191,431 574,294 287,147 861,442 430,721 1,292,164 646,082

← Previous Integer #2,829,581 Browse Full Index Next Integer #2,829,583 →