2,967,625

5³ × 23741

For 2,967,625, the 8 positive divisors have a total of 3,703,752. Removing 2,967,625 leaves 736,127, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 23741

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,703,752

Proper Divisor Sum 736,127

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2967607 ← → #2967637

Radix Representation

Decimal	2967625
Binary	1011010100100001001001 (22 bits)
Octal	0o13244111
Hexadecimal	0x2D4849

Divisor Catalog (8)

1 5 25 125 23,741 118,705 593,525 2,967,625

Collatz Trajectory (169 steps to reach 1)

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

2,967,625 8,902,876 4,451,438 2,225,719 6,677,158 3,338,579 10,015,738 5,007,869 15,023,608 7,511,804 3,755,902 1,877,951 5,633,854 2,816,927 8,450,782 4,225,391 12,676,174 6,338,087 19,014,262 9,507,131 28,521,394 14,260,697 42,782,092 21,391,046 10,695,523 32,086,570 16,043,285 48,129,856 24,064,928 12,032,464 6,016,232 3,008,116 1,504,058 752,029 2,256,088 1,128,044 564,022 282,011 846,034 423,017 1,269,052 634,526 317,263 951,790 475,895 1,427,686 713,843 2,141,530 1,070,765 3,212,296 1,606,148 803,074 401,537 1,204,612 602,306 301,153 903,460 451,730 225,865 677,596

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