7,231,761

3⁴ × 19 × 37 × 127

Starting at 7,231,761, the Collatz iteration reaches 1 after 116 steps. The first transition is 21695284; the starting value is odd with 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 19 × 37 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,770,880

Proper Divisor Sum 4,539,119

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7231751 ← → #7231769

Radix Representation

Decimal	7231761
Binary	11011100101100100010001 (23 bits)
Octal	0o33454421
Hexadecimal	0x6E5911

Divisor Catalog (40)

1 3 9 19 27 37 57 81 111 127 171 333 381 513 703 999 1,143 1,539 2,109 2,413 2,997 3,429 4,699 6,327 7,239 10,287 14,097 18,981 21,717 42,291 56,943 65,151 89,281 126,873 195,453 267,843 380,619 803,529 2,410,587 7,231,761

Collatz Trajectory (116 steps to reach 1)

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

7,231,761 21,695,284 10,847,642 5,423,821 16,271,464 8,135,732 4,067,866 2,033,933 6,101,800 3,050,900 1,525,450 762,725 2,288,176 1,144,088 572,044 286,022 143,011 429,034 214,517 643,552 321,776 160,888 80,444 40,222 20,111 60,334 30,167 90,502 45,251 135,754 67,877 203,632 101,816 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648

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