7,428,591

3⁴ × 91711

Starting at 7,428,591, the Collatz iteration reaches 1 after 235 steps. The first transition is 22285774; the starting value is odd with 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 91711

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 11,097,152

Proper Divisor Sum 3,668,561

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7428587 ← → #7428593

Radix Representation

Decimal	7428591
Binary	11100010101100111101111 (23 bits)
Octal	0o34254757
Hexadecimal	0x7159EF

Divisor Catalog (10)

1 3 9 27 81 91,711 275,133 825,399 2,476,197 7,428,591

Collatz Trajectory (235 steps to reach 1)

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

7,428,591 22,285,774 11,142,887 33,428,662 16,714,331 50,142,994 25,071,497 75,214,492 37,607,246 18,803,623 56,410,870 28,205,435 84,616,306 42,308,153 126,924,460 63,462,230 31,731,115 95,193,346 47,596,673 142,790,020 71,395,010 35,697,505 107,092,516 53,546,258 26,773,129 80,319,388 40,159,694 20,079,847 60,239,542 30,119,771 90,359,314 45,179,657 135,538,972 67,769,486 33,884,743 101,654,230 50,827,115 152,481,346 76,240,673 228,722,020 114,361,010 57,180,505 171,541,516 85,770,758 42,885,379 128,656,138 64,328,069 192,984,208 96,492,104 48,246,052 24,123,026 12,061,513 36,184,540 18,092,270 9,046,135 27,138,406 13,569,203 40,707,610 20,353,805 61,061,416

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