1,367,808

2⁸ × 3 × 13 × 137

Starting at 1,367,808, the Collatz iteration reaches 1 after 54 steps. The first transition is 683904; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3 × 13 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,949,008

Proper Divisor Sum 2,581,200

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1367789 ← → #1367819

Radix Representation

Decimal	1367808
Binary	101001101111100000000 (21 bits)
Octal	0o5157400
Hexadecimal	0x14DF00

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 137 156 192 208 256 274 312 384 411 416 548 624 768 822 832 1,096 1,248 1,644 1,664 1,781 2,192 2,496 3,288 3,328 3,562 4,384 4,992 5,343 6,576 7,124 8,768 9,984 10,686 13,152 14,248 17,536 21,372 26,304 28,496 35,072

Collatz Trajectory (54 steps to reach 1)

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

1,367,808 683,904 341,952 170,976 85,488 42,744 21,372 10,686 5,343 16,030 8,015 24,046 12,023 36,070 18,035 54,106 27,053 81,160 40,580 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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