λ
Prime Ledger

1,055,743

132 × 6247
Deficient Odd Composite

1,055,743 has the prime decomposition 13^2 × 6247. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 6247
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,143,384
Proper Divisor Sum 87,641
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1055741 ← → #1055771

Radix Representation

Decimal 1055743
Binary 100000001101111111111 (21 bits)
Octal 0o4015777
Hexadecimal 0x101BFF

Divisor Catalog (6)

1 13 169 6,247 81,211 1,055,743

Collatz Trajectory (408 steps to reach 1)

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

1,055,743 3,167,230 1,583,615 4,750,846 2,375,423 7,126,270 3,563,135 10,689,406 5,344,703 16,034,110 8,017,055 24,051,166 12,025,583 36,076,750 18,038,375 54,115,126 27,057,563 81,172,690 40,586,345 121,759,036 60,879,518 30,439,759 91,319,278 45,659,639 136,978,918 68,489,459 205,468,378 102,734,189 308,202,568 154,101,284 77,050,642 38,525,321 115,575,964 57,787,982 28,893,991 86,681,974 43,340,987 130,022,962 65,011,481 195,034,444 97,517,222 48,758,611 146,275,834 73,137,917 219,413,752 109,706,876 54,853,438 27,426,719 82,280,158 41,140,079 123,420,238 61,710,119 185,130,358 92,565,179 277,695,538 138,847,769 416,543,308 208,271,654 104,135,827 312,407,482

More profiles

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