6,123,516

2² × 3 × 7 × 269 × 271

Starting at 6,123,516, the Collatz iteration reaches 1 after 183 steps. The first transition is 3061758; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 269 × 271

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,450,560

Proper Divisor Sum 10,327,044

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6123499 ← → #6123517

Radix Representation

Decimal	6123516
Binary	10111010110111111111100 (23 bits)
Octal	0o27267774
Hexadecimal	0x5D6FFC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 269 271 538 542 807 813 1,076 1,084 1,614 1,626 1,883 1,897 3,228 3,252 3,766 3,794 5,649 5,691 7,532 7,588 11,298 11,382 22,596 22,764 72,899 145,798 218,697 291,596 437,394 510,293 874,788 1,020,586 1,530,879 2,041,172 3,061,758 6,123,516

Collatz Trajectory (183 steps to reach 1)

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

6,123,516 3,061,758 1,530,879 4,592,638 2,296,319 6,888,958 3,444,479 10,333,438 5,166,719 15,500,158 7,750,079 23,250,238 11,625,119 34,875,358 17,437,679 52,313,038 26,156,519 78,469,558 39,234,779 117,704,338 58,852,169 176,556,508 88,278,254 44,139,127 132,417,382 66,208,691 198,626,074 99,313,037 297,939,112 148,969,556 74,484,778 37,242,389 111,727,168 55,863,584 27,931,792 13,965,896 6,982,948 3,491,474 1,745,737 5,237,212 2,618,606 1,309,303 3,927,910 1,963,955 5,891,866 2,945,933 8,837,800 4,418,900 2,209,450 1,104,725 3,314,176 1,657,088 828,544 414,272 207,136 103,568 51,784 25,892 12,946 6,473

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