3,415,215

3 × 5 × 17 × 59 × 227

3,415,215 has digital root 3. The neighboring primes are 3415187 and 3415219; its proper-divisor sum differs from the starting integer by -920,670.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 59 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,909,760

Proper Divisor Sum 2,494,545

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3415187 ← → #3415219

Radix Representation

Decimal	3415215
Binary	1101000001110010101111 (22 bits)
Octal	0o15016257
Hexadecimal	0x341CAF

Divisor Catalog (32)

1 3 5 15 17 51 59 85 177 227 255 295 681 885 1,003 1,135 3,009 3,405 3,859 5,015 11,577 13,393 15,045 19,295 40,179 57,885 66,965 200,895 227,681 683,043 1,138,405 3,415,215

Collatz Trajectory (128 steps to reach 1)

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

3,415,215 10,245,646 5,122,823 15,368,470 7,684,235 23,052,706 11,526,353 34,579,060 17,289,530 8,644,765 25,934,296 12,967,148 6,483,574 3,241,787 9,725,362 4,862,681 14,588,044 7,294,022 3,647,011 10,941,034 5,470,517 16,411,552 8,205,776 4,102,888 2,051,444 1,025,722 512,861 1,538,584 769,292 384,646 192,323 576,970 288,485 865,456 432,728 216,364 108,182 54,091 162,274 81,137 243,412 121,706 60,853 182,560 91,280 45,640 22,820 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611

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