6,913,696

2⁵ × 17 × 71 × 179

Starting at 6,913,696, the Collatz iteration reaches 1 after 183 steps. The first transition is 3456848; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 17 × 71 × 179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,696,640

Proper Divisor Sum 7,782,944

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6913693 ← → #6913703

Radix Representation

Decimal	6913696
Binary	11010010111111010100000 (23 bits)
Octal	0o32277240
Hexadecimal	0x697EA0

Divisor Catalog (48)

1 2 4 8 16 17 32 34 68 71 136 142 179 272 284 358 544 568 716 1,136 1,207 1,432 2,272 2,414 2,864 3,043 4,828 5,728 6,086 9,656 12,172 12,709 19,312 24,344 25,418 38,624 48,688 50,836 97,376 101,672 203,344 216,053 406,688 432,106 864,212 1,728,424 3,456,848 6,913,696

Collatz Trajectory (183 steps to reach 1)

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

6,913,696 3,456,848 1,728,424 864,212 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128

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