1,084,721

11 × 31 × 3181

Starting at 1,084,721, the Collatz iteration reaches 1 after 72 steps. The first transition is 3254164; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 31 × 3181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,221,888

Proper Divisor Sum 137,167

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1084711 ← → #1084723

Radix Representation

Decimal	1084721
Binary	100001000110100110001 (21 bits)
Octal	0o4106461
Hexadecimal	0x108D31

Divisor Catalog (8)

1 11 31 341 3,181 34,991 98,611 1,084,721

Collatz Trajectory (72 steps to reach 1)

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

1,084,721 3,254,164 1,627,082 813,541 2,440,624 1,220,312 610,156 305,078 152,539 457,618 228,809 686,428 343,214 171,607 514,822 257,411 772,234 386,117 1,158,352 579,176 289,588 144,794 72,397 217,192 108,596 54,298 27,149 81,448 40,724 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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