349,980

2² × 3 × 5 × 19 × 307

349,980 has digital root 6. The neighboring primes are 349967 and 349981; its proper-divisor sum differs from the starting integer by 334,920.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 19 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,034,880

Proper Divisor Sum 684,900

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #349967 ← → #349981

Radix Representation

Decimal	349980
Binary	1010101011100011100 (19 bits)
Octal	0o1253434
Hexadecimal	0x5571C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 307 380 570 614 921 1,140 1,228 1,535 1,842 3,070 3,684 4,605 5,833 6,140 9,210 11,666 17,499 18,420 23,332 29,165 34,998 58,330 69,996 87,495 116,660 174,990 349,980

Collatz Trajectory (104 steps to reach 1)

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

349,980 174,990 87,495 262,486 131,243 393,730 196,865 590,596 295,298 147,649 442,948 221,474 110,737 332,212 166,106 83,053 249,160 124,580 62,290 31,145 93,436 46,718 23,359 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389 532,168 266,084 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371

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