7,264,895

5 × 11 × 23 × 5743

Starting at 7,264,895, the Collatz iteration reaches 1 after 235 steps. The first transition is 21794686; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 5743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,925,632

Proper Divisor Sum 2,660,737

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7264889 ← → #7264903

Radix Representation

Decimal	7264895
Binary	11011101101101001111111 (23 bits)
Octal	0o33555177
Hexadecimal	0x6EDA7F

Divisor Catalog (16)

1 5 11 23 55 115 253 1,265 5,743 28,715 63,173 132,089 315,865 660,445 1,452,979 7,264,895

Collatz Trajectory (235 steps to reach 1)

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

7,264,895 21,794,686 10,897,343 32,692,030 16,346,015 49,038,046 24,519,023 73,557,070 36,778,535 110,335,606 55,167,803 165,503,410 82,751,705 248,255,116 124,127,558 62,063,779 186,191,338 93,095,669 279,287,008 139,643,504 69,821,752 34,910,876 17,455,438 8,727,719 26,183,158 13,091,579 39,274,738 19,637,369 58,912,108 29,456,054 14,728,027 44,184,082 22,092,041 66,276,124 33,138,062 16,569,031 49,707,094 24,853,547 74,560,642 37,280,321 111,840,964 55,920,482 27,960,241 83,880,724 41,940,362 20,970,181 62,910,544 31,455,272 15,727,636 7,863,818 3,931,909 11,795,728 5,897,864 2,948,932 1,474,466 737,233 2,211,700 1,105,850 552,925 1,658,776

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