λ
Harmonic Matrix

1,073,071

1021 × 1051
Deficient Odd Composite

1,073,071 has digital root 1. The neighboring primes are 1073069 and 1073077; its proper-divisor sum differs from the starting integer by -1,070,998.

Prime Factor Structure

Factorization String 1021 × 1051
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,075,144
Proper Divisor Sum 2,073
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1073069 ← → #1073077

Radix Representation

Decimal 1073071
Binary 100000101111110101111 (21 bits)
Octal 0o4057657
Hexadecimal 0x105FAF

Divisor Catalog (4)

1 1,021 1,051 1,073,071

Collatz Trajectory (116 steps to reach 1)

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

1,073,071 3,219,214 1,609,607 4,828,822 2,414,411 7,243,234 3,621,617 10,864,852 5,432,426 2,716,213 8,148,640 4,074,320 2,037,160 1,018,580 509,290 254,645 763,936 381,968 190,984 95,492 47,746 23,873 71,620 35,810 17,905 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138

More profiles

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