1,508,460

2² × 3 × 5 × 31 × 811

1,508,460 has digital root 6. The neighboring primes are 1508459 and 1508471; its proper-divisor sum differs from the starting integer by 1,348,392.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 31 × 811

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,365,312

Proper Divisor Sum 2,856,852

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1508459 ← → #1508471

Radix Representation

Decimal	1508460
Binary	101110000010001101100 (21 bits)
Octal	0o5602154
Hexadecimal	0x17046C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 811 930 1,622 1,860 2,433 3,244 4,055 4,866 8,110 9,732 12,165 16,220 24,330 25,141 48,660 50,282 75,423 100,564 125,705 150,846 251,410 301,692 377,115 502,820 754,230 1,508,460

Collatz Trajectory (256 steps to reach 1)

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

1,508,460 754,230 377,115 1,131,346 565,673 1,697,020 848,510 424,255 1,272,766 636,383 1,909,150 954,575 2,863,726 1,431,863 4,295,590 2,147,795 6,443,386 3,221,693 9,665,080 4,832,540 2,416,270 1,208,135 3,624,406 1,812,203 5,436,610 2,718,305 8,154,916 4,077,458 2,038,729 6,116,188 3,058,094 1,529,047 4,587,142 2,293,571 6,880,714 3,440,357 10,321,072 5,160,536 2,580,268 1,290,134 645,067 1,935,202 967,601 2,902,804 1,451,402 725,701 2,177,104 1,088,552 544,276 272,138 136,069 408,208 204,104 102,052 51,026 25,513 76,540 38,270 19,135 57,406

← Previous Integer #1,508,459 Browse Full Index Next Integer #1,508,461 →