7,263,427

29 × 47 × 73²

Starting at 7,263,427, the Collatz iteration reaches 1 after 222 steps. The first transition is 21790282; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 29 × 47 × 73^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,780,320

Proper Divisor Sum 516,893

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7263419 ← → #7263439

Radix Representation

Decimal	7263427
Binary	11011101101010011000011 (23 bits)
Octal	0o33552303
Hexadecimal	0x6ED4C3

Divisor Catalog (12)

1 29 47 73 1,363 2,117 3,431 5,329 99,499 154,541 250,463 7,263,427

Collatz Trajectory (222 steps to reach 1)

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

7,263,427 21,790,282 10,895,141 32,685,424 16,342,712 8,171,356 4,085,678 2,042,839 6,128,518 3,064,259 9,192,778 4,596,389 13,789,168 6,894,584 3,447,292 1,723,646 861,823 2,585,470 1,292,735 3,878,206 1,939,103 5,817,310 2,908,655 8,725,966 4,362,983 13,088,950 6,544,475 19,633,426 9,816,713 29,450,140 14,725,070 7,362,535 22,087,606 11,043,803 33,131,410 16,565,705 49,697,116 24,848,558 12,424,279 37,272,838 18,636,419 55,909,258 27,954,629 83,863,888 41,931,944 20,965,972 10,482,986 5,241,493 15,724,480 7,862,240 3,931,120 1,965,560 982,780 491,390 245,695 737,086 368,543 1,105,630 552,815 1,658,446

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