λ
Integer Codex

701,003

31 × 22613
Deficient Odd Composite

For 701,003, the 4 positive divisors have a total of 723,648. Removing 701,003 leaves 22,645, which gives the deficient classification.

Prime Factor Structure

Factorization String 31 × 22613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 723,648
Proper Divisor Sum 22,645
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #700993 ← → #701009

Radix Representation

Decimal 701003
Binary 10101011001001001011 (20 bits)
Octal 0o2531113
Hexadecimal 0xAB24B

Divisor Catalog (4)

1 31 22,613 701,003

Collatz Trajectory (167 steps to reach 1)

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

701,003 2,103,010 1,051,505 3,154,516 1,577,258 788,629 2,365,888 1,182,944 591,472 295,736 147,868 73,934 36,967 110,902 55,451 166,354 83,177 249,532 124,766 62,383 187,150 93,575 280,726 140,363 421,090 210,545 631,636 315,818 157,909 473,728 236,864 118,432 59,216 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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