3,672,727

3672727

3,672,727 has digital root 7. The neighboring primes are 3672689 and 3672733; its proper-divisor sum differs from the starting integer by -3,672,726.

Prime Factor Structure

Factorization String 3672727

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 3,672,728

Proper Divisor Sum 1

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3672689 ← → #3672733

Radix Representation

Decimal	3672727
Binary	1110000000101010010111 (22 bits)
Octal	0o16005227
Hexadecimal	0x380A97

Divisor Catalog (2)

1 3,672,727

Collatz Trajectory (110 steps to reach 1)

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

3,672,727 11,018,182 5,509,091 16,527,274 8,263,637 24,790,912 12,395,456 6,197,728 3,098,864 1,549,432 774,716 387,358 193,679 581,038 290,519 871,558 435,779 1,307,338 653,669 1,961,008 980,504 490,252 245,126 122,563 367,690 183,845 551,536 275,768 137,884 68,942 34,471 103,414 51,707 155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883

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