7,790,000

2⁴ × 5⁴ × 19 × 41

7,790,000 factors as 2^4 × 5^4 × 19 × 41. Its 100 positive divisors give a proper-divisor sum of 12,547,240, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^4 × 5^4 × 19 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 20,337,240

Proper Divisor Sum 12,547,240

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7789997 ← → #7790047

Radix Representation

Decimal	7790000
Binary	11101101101110110110000 (23 bits)
Octal	0o35556660
Hexadecimal	0x76DDB0

Divisor Catalog (60 of 100)

1 2 4 5 8 10 16 19 20 25 38 40 41 50 76 80 82 95 100 125 152 164 190 200 205 250 304 328 380 400 410 475 500 625 656 760 779 820 950 1,000 1,025 1,250 1,520 1,558 1,640 1,900 2,000 2,050 2,375 2,500 3,116 3,280 3,800 3,895 4,100 4,750 5,000 5,125 6,232 7,600

Collatz Trajectory (111 steps to reach 1)

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

7,790,000 3,895,000 1,947,500 973,750 486,875 1,460,626 730,313 2,190,940 1,095,470 547,735 1,643,206 821,603 2,464,810 1,232,405 3,697,216 1,848,608 924,304 462,152 231,076 115,538 57,769 173,308 86,654 43,327 129,982 64,991 194,974 97,487 292,462 146,231 438,694 219,347 658,042 329,021 987,064 493,532 246,766 123,383 370,150 185,075 555,226 277,613 832,840 416,420 208,210 104,105 312,316 156,158 78,079 234,238 117,119 351,358 175,679 527,038 263,519 790,558 395,279 1,185,838 592,919 1,778,758

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,789,999 Browse Full Index Next Integer #7,790,001 →