517,450

2 × 5² × 79 × 131

Starting at 517,450, the Collatz iteration reaches 1 after 89 steps. The first transition is 258725; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 79 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 982,080

Proper Divisor Sum 464,630

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #517417 ← → #517457

Radix Representation

Decimal	517450
Binary	1111110010101001010 (19 bits)
Octal	0o1762512
Hexadecimal	0x7E54A

Divisor Catalog (24)

1 2 5 10 25 50 79 131 158 262 395 655 790 1,310 1,975 3,275 3,950 6,550 10,349 20,698 51,745 103,490 258,725 517,450

Collatz Trajectory (89 steps to reach 1)

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

517,450 258,725 776,176 388,088 194,044 97,022 48,511 145,534 72,767 218,302 109,151 327,454 163,727 491,182 245,591 736,774 368,387 1,105,162 552,581 1,657,744 828,872 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645 331,936 165,968 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284

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