λ
Sequence Observatory

2,415,711

3 × 359 × 2243
Deficient Odd Composite

Starting at 2,415,711, the Collatz iteration reaches 1 after 99 steps. The first transition is 7247134; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 359 × 2243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,231,360
Proper Divisor Sum 815,649
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2415703 ← → #2415719

Radix Representation

Decimal 2415711
Binary 1001001101110001011111 (22 bits)
Octal 0o11156137
Hexadecimal 0x24DC5F

Divisor Catalog (8)

1 3 359 1,077 2,243 6,729 805,237 2,415,711

Collatz Trajectory (99 steps to reach 1)

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

2,415,711 7,247,134 3,623,567 10,870,702 5,435,351 16,306,054 8,153,027 24,459,082 12,229,541 36,688,624 18,344,312 9,172,156 4,586,078 2,293,039 6,879,118 3,439,559 10,318,678 5,159,339 15,478,018 7,739,009 23,217,028 11,608,514 5,804,257 17,412,772 8,706,386 4,353,193 13,059,580 6,529,790 3,264,895 9,794,686 4,897,343 14,692,030 7,346,015 22,038,046 11,019,023 33,057,070 16,528,535 49,585,606 24,792,803 74,378,410 37,189,205 111,567,616 55,783,808 27,891,904 13,945,952 6,972,976 3,486,488 1,743,244 871,622 435,811 1,307,434 653,717 1,961,152 980,576 490,288 245,144 122,572 61,286 30,643 91,930

More profiles

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