3,663,725

5² × 13 × 11273

3,663,725 has digital root 5. The neighboring primes are 3663707 and 3663743; its proper-divisor sum differs from the starting integer by -2,434,534.

Prime Factor Structure

Factorization String 5^2 × 13 × 11273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,892,916

Proper Divisor Sum 1,229,191

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3663707 ← → #3663743

Radix Representation

Decimal	3663725
Binary	1101111110011101101101 (22 bits)
Octal	0o15763555
Hexadecimal	0x37E76D

Divisor Catalog (12)

1 5 13 25 65 325 11,273 56,365 146,549 281,825 732,745 3,663,725

Collatz Trajectory (110 steps to reach 1)

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

3,663,725 10,991,176 5,495,588 2,747,794 1,373,897 4,121,692 2,060,846 1,030,423 3,091,270 1,545,635 4,636,906 2,318,453 6,955,360 3,477,680 1,738,840 869,420 434,710 217,355 652,066 326,033 978,100 489,050 244,525 733,576 366,788 183,394 91,697 275,092 137,546 68,773 206,320 103,160 51,580 25,790 12,895 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874

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