λ
Prime Ledger

1,314,915

3 × 5 × 72 × 1789
Deficient Odd Composite

1,314,915 has the prime decomposition 3 × 5 × 7^2 × 1789. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,448,720
Proper Divisor Sum 1,133,805
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1314893 ← → #1314917

Radix Representation

Decimal 1314915
Binary 101000001000001100011 (21 bits)
Octal 0o5010143
Hexadecimal 0x141063

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 1,789 5,367 8,945 12,523 26,835 37,569 62,615 87,661 187,845 262,983 438,305 1,314,915

Collatz Trajectory (186 steps to reach 1)

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

1,314,915 3,944,746 1,972,373 5,917,120 2,958,560 1,479,280 739,640 369,820 184,910 92,455 277,366 138,683 416,050 208,025 624,076 312,038 156,019 468,058 234,029 702,088 351,044 175,522 87,761 263,284 131,642 65,821 197,464 98,732 49,366 24,683 74,050 37,025 111,076 55,538 27,769 83,308 41,654 20,827 62,482 31,241 93,724 46,862 23,431 70,294 35,147 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342

More profiles

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