2,046,704

2⁴ × 11 × 29 × 401

Starting at 2,046,704, the Collatz iteration reaches 1 after 91 steps. The first transition is 1023352; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 29 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 4,486,320

Proper Divisor Sum 2,439,616

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2046703 ← → #2046719

Radix Representation

Decimal	2046704
Binary	111110011101011110000 (21 bits)
Octal	0o7635360
Hexadecimal	0x1F3AF0

Divisor Catalog (40)

1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 401 464 638 802 1,276 1,604 2,552 3,208 4,411 5,104 6,416 8,822 11,629 17,644 23,258 35,288 46,516 70,576 93,032 127,919 186,064 255,838 511,676 1,023,352 2,046,704

Collatz Trajectory (91 steps to reach 1)

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

2,046,704 1,023,352 511,676 255,838 127,919 383,758 191,879 575,638 287,819 863,458 431,729 1,295,188 647,594 323,797 971,392 485,696 242,848 121,424 60,712 30,356 15,178 7,589 22,768 11,384 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186

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