3,732,028

2² × 31 × 30097

For 3,732,028, the 12 positive divisors have a total of 6,741,952. Removing 3,732,028 leaves 3,009,924, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 31 × 30097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,741,952

Proper Divisor Sum 3,009,924

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3732019 ← → #3732031

Radix Representation

Decimal	3732028
Binary	1110001111001000111100 (22 bits)
Octal	0o16171074
Hexadecimal	0x38F23C

Divisor Catalog (12)

1 2 4 31 62 124 30,097 60,194 120,388 933,007 1,866,014 3,732,028

Collatz Trajectory (141 steps to reach 1)

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

3,732,028 1,866,014 933,007 2,799,022 1,399,511 4,198,534 2,099,267 6,297,802 3,148,901 9,446,704 4,723,352 2,361,676 1,180,838 590,419 1,771,258 885,629 2,656,888 1,328,444 664,222 332,111 996,334 498,167 1,494,502 747,251 2,241,754 1,120,877 3,362,632 1,681,316 840,658 420,329 1,260,988 630,494 315,247 945,742 472,871 1,418,614 709,307 2,127,922 1,063,961 3,191,884 1,595,942 797,971 2,393,914 1,196,957 3,590,872 1,795,436 897,718 448,859 1,346,578 673,289 2,019,868 1,009,934 504,967 1,514,902 757,451 2,272,354 1,136,177 3,408,532 1,704,266 852,133

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