λ
Sequence Observatory

7,270,953

3 × 2423651
Deficient Odd Composite

Starting at 7,270,953, the Collatz iteration reaches 1 after 116 steps. The first transition is 21812860; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2423651
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,694,608
Proper Divisor Sum 2,423,655
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7270937 ← → #7270969

Radix Representation

Decimal 7270953
Binary 11011101111001000101001 (23 bits)
Octal 0o33571051
Hexadecimal 0x6EF229

Divisor Catalog (4)

1 3 2,423,651 7,270,953

Collatz Trajectory (116 steps to reach 1)

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

7,270,953 21,812,860 10,906,430 5,453,215 16,359,646 8,179,823 24,539,470 12,269,735 36,809,206 18,404,603 55,213,810 27,606,905 82,820,716 41,410,358 20,705,179 62,115,538 31,057,769 93,173,308 46,586,654 23,293,327 69,879,982 34,939,991 104,819,974 52,409,987 157,229,962 78,614,981 235,844,944 117,922,472 58,961,236 29,480,618 14,740,309 44,220,928 22,110,464 11,055,232 5,527,616 2,763,808 1,381,904 690,952 345,476 172,738 86,369 259,108 129,554 64,777 194,332 97,166 48,583 145,750 72,875 218,626 109,313 327,940 163,970 81,985 245,956 122,978 61,489 184,468 92,234 46,117

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