λ
Integer Codex

1,301,927

11 × 71 × 1667
Deficient Odd Composite

For 1,301,927, the 8 positive divisors have a total of 1,441,152. Removing 1,301,927 leaves 139,225, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 71 × 1667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,441,152
Proper Divisor Sum 139,225
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1301921 ← → #1301929

Radix Representation

Decimal 1301927
Binary 100111101110110100111 (21 bits)
Octal 0o4756647
Hexadecimal 0x13DDA7

Divisor Catalog (8)

1 11 71 781 1,667 18,337 118,357 1,301,927

Collatz Trajectory (67 steps to reach 1)

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

1,301,927 3,905,782 1,952,891 5,858,674 2,929,337 8,788,012 4,394,006 2,197,003 6,591,010 3,295,505 9,886,516 4,943,258 2,471,629 7,414,888 3,707,444 1,853,722 926,861 2,780,584 1,390,292 695,146 347,573 1,042,720 521,360 260,680 130,340 65,170 32,585 97,756 48,878 24,439 73,318 36,659 109,978 54,989 164,968 82,484 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40

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