348,390

2 × 3² × 5 × 7² × 79

348,390 factors as 2 × 3^2 × 5 × 7^2 × 79. Its 72 positive divisors give a proper-divisor sum of 718,650, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,067,040

Proper Divisor Sum 718,650

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #348389 ← → #348401

Radix Representation

Decimal	348390
Binary	1010101000011100110 (19 bits)
Octal	0o1250346
Hexadecimal	0x550E6

Divisor Catalog (60 of 72)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 79 90 98 105 126 147 158 210 237 245 294 315 395 441 474 490 553 630 711 735 790 882 1,106 1,185 1,422 1,470 1,659 2,205 2,370 2,765 3,318 3,555 3,871 4,410 4,977 5,530 7,110 7,742 8,295 9,954 11,613

Collatz Trajectory (197 steps to reach 1)

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

348,390 174,195 522,586 261,293 783,880 391,940 195,970 97,985 293,956 146,978 73,489 220,468 110,234 55,117 165,352 82,676 41,338 20,669 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #348,389 Browse Full Index Next Integer #348,391 →