2³ × 3⁵ × 5 × 31

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,048,320

Proper Divisor Sum 747,000

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #301319 ← → #301331

Radix Representation

Decimal	301320
Binary	1001001100100001000 (19 bits)
Octal	0o1114410
Hexadecimal	0x49908

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 243 248 270 279 310 324 360 372 405 465 486 540 558 620 648 744 810 837 930 972 1,080 1,116 1,215 1,240

Collatz Trajectory (140 steps to reach 1)

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

301,320 150,660 75,330 37,665 112,996 56,498 28,249 84,748 42,374 21,187 63,562 31,781 95,344 47,672 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #301,319 Browse Full Index Next Integer #301,321 →