384,648

2³ × 3 × 11 × 31 × 47

384,648 factors as 2^3 × 3 × 11 × 31 × 47. Its 64 positive divisors give a proper-divisor sum of 721,272, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 31 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,105,920

Proper Divisor Sum 721,272

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #384641 ← → #384673

Radix Representation

Decimal	384648
Binary	1011101111010001000 (19 bits)
Octal	0o1357210
Hexadecimal	0x5DE88

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 31 33 44 47 62 66 88 93 94 124 132 141 186 188 248 264 282 341 372 376 517 564 682 744 1,023 1,034 1,128 1,364 1,457 1,551 2,046 2,068 2,728 2,914 3,102 4,092 4,136 4,371 5,828 6,204 8,184 8,742 11,656 12,408 16,027 17,484 32,054 34,968 48,081 64,108

Collatz Trajectory (99 steps to reach 1)

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

384,648 192,324 96,162 48,081 144,244 72,122 36,061 108,184 54,092 27,046 13,523 40,570 20,285 60,856 30,428 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #384,647 Browse Full Index Next Integer #384,649 →