λ
Zalai Atlas

1,065,199

23 × 29 × 1597
Deficient Odd Composite

1,065,199 has the prime decomposition 23 × 29 × 1597. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 29 × 1597
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,150,560
Proper Divisor Sum 85,361
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1065173 ← → #1065209

Radix Representation

Decimal 1065199
Binary 100000100000011101111 (21 bits)
Octal 0o4040357
Hexadecimal 0x1040EF

Divisor Catalog (8)

1 23 29 667 1,597 36,731 46,313 1,065,199

Collatz Trajectory (147 steps to reach 1)

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

1,065,199 3,195,598 1,597,799 4,793,398 2,396,699 7,190,098 3,595,049 10,785,148 5,392,574 2,696,287 8,088,862 4,044,431 12,133,294 6,066,647 18,199,942 9,099,971 27,299,914 13,649,957 40,949,872 20,474,936 10,237,468 5,118,734 2,559,367 7,678,102 3,839,051 11,517,154 5,758,577 17,275,732 8,637,866 4,318,933 12,956,800 6,478,400 3,239,200 1,619,600 809,800 404,900 202,450 101,225 303,676 151,838 75,919 227,758 113,879 341,638 170,819 512,458 256,229 768,688 384,344 192,172 96,086 48,043 144,130 72,065 216,196 108,098 54,049 162,148 81,074 40,537

More profiles

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