1,307,096

2³ × 7 × 17 × 1373

Starting at 1,307,096, the Collatz iteration reaches 1 after 93 steps. The first transition is 653548; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 1373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,967,840

Proper Divisor Sum 1,660,744

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1307093 ← → #1307101

Radix Representation

Decimal	1307096
Binary	100111111000111011000 (21 bits)
Octal	0o4770730
Hexadecimal	0x13F1D8

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1,373 2,746 5,492 9,611 10,984 19,222 23,341 38,444 46,682 76,888 93,364 163,387 186,728 326,774 653,548 1,307,096

Collatz Trajectory (93 steps to reach 1)

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

1,307,096 653,548 326,774 163,387 490,162 245,081 735,244 367,622 183,811 551,434 275,717 827,152 413,576 206,788 103,394 51,697 155,092 77,546 38,773 116,320 58,160 29,080 14,540 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 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384

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