2,752,825

5² × 29 × 3797

2,752,825 has digital root 4. The neighboring primes are 2752823 and 2752843; its proper-divisor sum differs from the starting integer by -1,973,510.

Prime Factor Structure

Factorization String 5^2 × 29 × 3797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,532,140

Proper Divisor Sum 779,315

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2752823 ← → #2752843

Radix Representation

Decimal	2752825
Binary	1010100000000100111001 (22 bits)
Octal	0o12400471
Hexadecimal	0x2A0139

Divisor Catalog (12)

1 5 25 29 145 725 3,797 18,985 94,925 110,113 550,565 2,752,825

Collatz Trajectory (138 steps to reach 1)

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

2,752,825 8,258,476 4,129,238 2,064,619 6,193,858 3,096,929 9,290,788 4,645,394 2,322,697 6,968,092 3,484,046 1,742,023 5,226,070 2,613,035 7,839,106 3,919,553 11,758,660 5,879,330 2,939,665 8,818,996 4,409,498 2,204,749 6,614,248 3,307,124 1,653,562 826,781 2,480,344 1,240,172 620,086 310,043 930,130 465,065 1,395,196 697,598 348,799 1,046,398 523,199 1,569,598 784,799 2,354,398 1,177,199 3,531,598 1,765,799 5,297,398 2,648,699 7,946,098 3,973,049 11,919,148 5,959,574 2,979,787 8,939,362 4,469,681 13,409,044 6,704,522 3,352,261 10,056,784 5,028,392 2,514,196 1,257,098 628,549

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