1,629,504

2⁶ × 3³ × 23 × 41

Starting at 1,629,504, the Collatz iteration reaches 1 after 114 steps. The first transition is 814752; the starting value is even with 112 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 23 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 5,120,640

Proper Divisor Sum 3,491,136

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1629479 ← → #1629541

Radix Representation

Decimal	1629504
Binary	110001101110101000000 (21 bits)
Octal	0o6156500
Hexadecimal	0x18DD40

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 41 46 48 54 64 69 72 82 92 96 108 123 138 144 164 184 192 207 216 246 276 288 328 368 369 414 432 492 552 576 621 656 736 738 828 864 943 984 1,104 1,107 1,242 1,312 1,472 1,476 1,656

Collatz Trajectory (114 steps to reach 1)

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

1,629,504 814,752 407,376 203,688 101,844 50,922 25,461 76,384 38,192 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727

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