882,292

2² × 220573

Starting at 882,292, the Collatz iteration reaches 1 after 188 steps. The first transition is 441146; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 220573

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,544,018

Proper Divisor Sum 661,726

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #882289 ← → #882313

Radix Representation

Decimal	882292
Binary	11010111011001110100 (20 bits)
Octal	0o3273164
Hexadecimal	0xD7674

Divisor Catalog (6)

1 2 4 220,573 441,146 882,292

Collatz Trajectory (188 steps to reach 1)

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

882,292 441,146 220,573 661,720 330,860 165,430 82,715 248,146 124,073 372,220 186,110 93,055 279,166 139,583 418,750 209,375 628,126 314,063 942,190 471,095 1,413,286 706,643 2,119,930 1,059,965 3,179,896 1,589,948 794,974 397,487 1,192,462 596,231 1,788,694 894,347 2,683,042 1,341,521 4,024,564 2,012,282 1,006,141 3,018,424 1,509,212 754,606 377,303 1,131,910 565,955 1,697,866 848,933 2,546,800 1,273,400 636,700 318,350 159,175 477,526 238,763 716,290 358,145 1,074,436 537,218 268,609 805,828 402,914 201,457

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