λ
Integer Codex

997,771

137 × 7283
Deficient Odd Composite

For 997,771, the 4 positive divisors have a total of 1,005,192. Removing 997,771 leaves 7,421, which gives the deficient classification.

Prime Factor Structure

Factorization String 137 × 7283
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,005,192
Proper Divisor Sum 7,421
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #997769 ← → #997783

Radix Representation

Decimal 997771
Binary 11110011100110001011 (20 bits)
Octal 0o3634613
Hexadecimal 0xF398B

Divisor Catalog (4)

1 137 7,283 997,771

Collatz Trajectory (227 steps to reach 1)

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

997,771 2,993,314 1,496,657 4,489,972 2,244,986 1,122,493 3,367,480 1,683,740 841,870 420,935 1,262,806 631,403 1,894,210 947,105 2,841,316 1,420,658 710,329 2,130,988 1,065,494 532,747 1,598,242 799,121 2,397,364 1,198,682 599,341 1,798,024 899,012 449,506 224,753 674,260 337,130 168,565 505,696 252,848 126,424 63,212 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055

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