3,722,859

3² × 7 × 59093

3,722,859 has digital root 9. The neighboring primes are 3722843 and 3722861; its proper-divisor sum differs from the starting integer by -1,299,942.

Prime Factor Structure

Factorization String 3^2 × 7 × 59093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,145,776

Proper Divisor Sum 2,422,917

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3722843 ← → #3722861

Radix Representation

Decimal	3722859
Binary	1110001100111001101011 (22 bits)
Octal	0o16147153
Hexadecimal	0x38CE6B

Divisor Catalog (12)

1 3 7 9 21 63 59,093 177,279 413,651 531,837 1,240,953 3,722,859

Collatz Trajectory (172 steps to reach 1)

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

3,722,859 11,168,578 5,584,289 16,752,868 8,376,434 4,188,217 12,564,652 6,282,326 3,141,163 9,423,490 4,711,745 14,135,236 7,067,618 3,533,809 10,601,428 5,300,714 2,650,357 7,951,072 3,975,536 1,987,768 993,884 496,942 248,471 745,414 372,707 1,118,122 559,061 1,677,184 838,592 419,296 209,648 104,824 52,412 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656

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