λ
Integer Codex

3,702,983

3702983
Deficient Odd Prime

For 3,702,983, the 2 positive divisors have a total of 3,702,984. Removing 3,702,983 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 3702983
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,702,984
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3702971 ← → #3703001

Radix Representation

Decimal 3702983
Binary 1110001000000011000111 (22 bits)
Octal 0o16100307
Hexadecimal 0x3880C7

Divisor Catalog (2)

Collatz Trajectory (141 steps to reach 1)

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

3,702,983 11,108,950 5,554,475 16,663,426 8,331,713 24,995,140 12,497,570 6,248,785 18,746,356 9,373,178 4,686,589 14,059,768 7,029,884 3,514,942 1,757,471 5,272,414 2,636,207 7,908,622 3,954,311 11,862,934 5,931,467 17,794,402 8,897,201 26,691,604 13,345,802 6,672,901 20,018,704 10,009,352 5,004,676 2,502,338 1,251,169 3,753,508 1,876,754 938,377 2,815,132 1,407,566 703,783 2,111,350 1,055,675 3,167,026 1,583,513 4,750,540 2,375,270 1,187,635 3,562,906 1,781,453 5,344,360 2,672,180 1,336,090 668,045 2,004,136 1,002,068 501,034 250,517 751,552 375,776 187,888 93,944 46,972 23,486

More profiles

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