2⁴ × 3 × 5 × 37 × 47

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,357,056

Proper Divisor Sum 939,696

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #417337 ← → #417371

Radix Representation

Decimal	417360
Binary	1100101111001010000 (19 bits)
Octal	0o1457120
Hexadecimal	0x65E50

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 47 48 60 74 80 94 111 120 141 148 185 188 222 235 240 282 296 370 376 444 470 555 564 592 705 740 752 888 940 1,110 1,128 1,410 1,480 1,739 1,776 1,880 2,220 2,256 2,820 2,960 3,478 3,760 4,440 5,217

Collatz Trajectory (187 steps to reach 1)

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

417,360 208,680 104,340 52,170 26,085 78,256 39,128 19,564 9,782 4,891 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #417,359 Browse Full Index Next Integer #417,361 →