λ
Integer Codex

2,125,361

7 × 23 × 43 × 307
Deficient Odd Composite

For 2,125,361, the 16 positive divisors have a total of 2,601,984. Removing 2,125,361 leaves 476,623, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 23 × 43 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,601,984
Proper Divisor Sum 476,623
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2125339 ← → #2125373

Radix Representation

Decimal 2125361
Binary 1000000110111000110001 (22 bits)
Octal 0o10067061
Hexadecimal 0x206E31

Divisor Catalog (16)

1 7 23 43 161 301 307 989 2,149 6,923 7,061 13,201 49,427 92,407 303,623 2,125,361

Collatz Trajectory (148 steps to reach 1)

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

2,125,361 6,376,084 3,188,042 1,594,021 4,782,064 2,391,032 1,195,516 597,758 298,879 896,638 448,319 1,344,958 672,479 2,017,438 1,008,719 3,026,158 1,513,079 4,539,238 2,269,619 6,808,858 3,404,429 10,213,288 5,106,644 2,553,322 1,276,661 3,829,984 1,914,992 957,496 478,748 239,374 119,687 359,062 179,531 538,594 269,297 807,892 403,946 201,973 605,920 302,960 151,480 75,740 37,870 18,935 56,806 28,403 85,210 42,605 127,816 63,908 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890

More profiles

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