441,214

2 × 167 × 1321

Starting at 441,214, the Collatz iteration reaches 1 after 125 steps. The first transition is 220607; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 167 × 1321

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 666,288

Proper Divisor Sum 225,074

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #441193 ← → #441229

Radix Representation

Decimal	441214
Binary	1101011101101111110 (19 bits)
Octal	0o1535576
Hexadecimal	0x6BB7E

Divisor Catalog (8)

1 2 167 334 1,321 2,642 220,607 441,214

Collatz Trajectory (125 steps to reach 1)

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

441,214 220,607 661,822 330,911 992,734 496,367 1,489,102 744,551 2,233,654 1,116,827 3,350,482 1,675,241 5,025,724 2,512,862 1,256,431 3,769,294 1,884,647 5,653,942 2,826,971 8,480,914 4,240,457 12,721,372 6,360,686 3,180,343 9,541,030 4,770,515 14,311,546 7,155,773 21,467,320 10,733,660 5,366,830 2,683,415 8,050,246 4,025,123 12,075,370 6,037,685 18,113,056 9,056,528 4,528,264 2,264,132 1,132,066 566,033 1,698,100 849,050 424,525 1,273,576 636,788 318,394 159,197 477,592 238,796 119,398 59,699 179,098 89,549 268,648 134,324 67,162 33,581 100,744

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