84,726

2 × 3⁴ × 523

Starting at 84,726, the Collatz iteration reaches 1 after 151 steps. The first transition is 42363; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 190,212

Proper Divisor Sum 105,486

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84719 ← → #84731

Radix Representation

Decimal	84726
Binary	10100101011110110 (17 bits)
Octal	0o245366
Hexadecimal	0x14AF6

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 523 1,046 1,569 3,138 4,707 9,414 14,121 28,242 42,363 84,726

Collatz Trajectory (151 steps to reach 1)

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

84,726 42,363 127,090 63,545 190,636 95,318 47,659 142,978 71,489 214,468 107,234 53,617 160,852 80,426 40,213 120,640 60,320 30,160 15,080 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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