1,577,320

2³ × 5 × 47 × 839

Starting at 1,577,320, the Collatz iteration reaches 1 after 163 steps. The first transition is 788660; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,628,800

Proper Divisor Sum 2,051,480

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1577309 ← → #1577321

Radix Representation

Decimal	1577320
Binary	110000001000101101000 (21 bits)
Octal	0o6010550
Hexadecimal	0x181168

Divisor Catalog (32)

1 2 4 5 8 10 20 40 47 94 188 235 376 470 839 940 1,678 1,880 3,356 4,195 6,712 8,390 16,780 33,560 39,433 78,866 157,732 197,165 315,464 394,330 788,660 1,577,320

Collatz Trajectory (163 steps to reach 1)

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

1,577,320 788,660 394,330 197,165 591,496 295,748 147,874 73,937 221,812 110,906 55,453 166,360 83,180 41,590 20,795 62,386 31,193 93,580 46,790 23,395 70,186 35,093 105,280 52,640 26,320 13,160 6,580 3,290 1,645 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

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