988,410

2 × 3 × 5 × 47 × 701

988,410 factors as 2 × 3 × 5 × 47 × 701. Its 32 positive divisors give a proper-divisor sum of 1,437,702, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 47 × 701

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,426,112

Proper Divisor Sum 1,437,702

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #988409 ← → #988417

Radix Representation

Decimal	988410
Binary	11110001010011111010 (20 bits)
Octal	0o3612372
Hexadecimal	0xF14FA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 47 94 141 235 282 470 701 705 1,402 1,410 2,103 3,505 4,206 7,010 10,515 21,030 32,947 65,894 98,841 164,735 197,682 329,470 494,205 988,410

Collatz Trajectory (144 steps to reach 1)

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

988,410 494,205 1,482,616 741,308 370,654 185,327 555,982 277,991 833,974 416,987 1,250,962 625,481 1,876,444 938,222 469,111 1,407,334 703,667 2,111,002 1,055,501 3,166,504 1,583,252 791,626 395,813 1,187,440 593,720 296,860 148,430 74,215 222,646 111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507 475,522 237,761 713,284 356,642 178,321 534,964 267,482 133,741 401,224 200,612 100,306 50,153 150,460 75,230 37,615

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