λ
Prime Ledger

1,497,615

3 × 5 × 7 × 17 × 839
Deficient Odd Composite

1,497,615 has the prime decomposition 3 × 5 × 7 × 17 × 839. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,903,040
Proper Divisor Sum 1,405,425
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1497593 ← → #1497619

Radix Representation

Decimal 1497615
Binary 101101101101000001111 (21 bits)
Octal 0o5555017
Hexadecimal 0x16DA0F

Divisor Catalog (32)

1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 839 1,785 2,517 4,195 5,873 12,585 14,263 17,619 29,365 42,789 71,315 88,095 99,841 213,945 299,523 499,205 1,497,615

Collatz Trajectory (119 steps to reach 1)

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

1,497,615 4,492,846 2,246,423 6,739,270 3,369,635 10,108,906 5,054,453 15,163,360 7,581,680 3,790,840 1,895,420 947,710 473,855 1,421,566 710,783 2,132,350 1,066,175 3,198,526 1,599,263 4,797,790 2,398,895 7,196,686 3,598,343 10,795,030 5,397,515 16,192,546 8,096,273 24,288,820 12,144,410 6,072,205 18,216,616 9,108,308 4,554,154 2,277,077 6,831,232 3,415,616 1,707,808 853,904 426,952 213,476 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962

More profiles

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