λ
Integer Codex

1,121,007

3 × 373669
Deficient Odd Composite

For 1,121,007, the 4 positive divisors have a total of 1,494,680. Removing 1,121,007 leaves 373,673, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 373669
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,494,680
Proper Divisor Sum 373,673
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1120993 ← → #1121011

Radix Representation

Decimal 1121007
Binary 100010001101011101111 (21 bits)
Octal 0o4215357
Hexadecimal 0x111AEF

Divisor Catalog (4)

1 3 373,669 1,121,007

Collatz Trajectory (160 steps to reach 1)

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

1,121,007 3,363,022 1,681,511 5,044,534 2,522,267 7,566,802 3,783,401 11,350,204 5,675,102 2,837,551 8,512,654 4,256,327 12,768,982 6,384,491 19,153,474 9,576,737 28,730,212 14,365,106 7,182,553 21,547,660 10,773,830 5,386,915 16,160,746 8,080,373 24,241,120 12,120,560 6,060,280 3,030,140 1,515,070 757,535 2,272,606 1,136,303 3,408,910 1,704,455 5,113,366 2,556,683 7,670,050 3,835,025 11,505,076 5,752,538 2,876,269 8,628,808 4,314,404 2,157,202 1,078,601 3,235,804 1,617,902 808,951 2,426,854 1,213,427 3,640,282 1,820,141 5,460,424 2,730,212 1,365,106 682,553 2,047,660 1,023,830 511,915 1,535,746

More profiles

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