λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,189,088

10,189,088

25 × 7 × 13 × 3499
Abundant Even Composite

10,189,088 factors as 2^5 × 7 × 13 × 3499. Its 48 positive divisors give a proper-divisor sum of 14,506,912, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 3499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,696,000
Proper Divisor Sum 14,506,912
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #10189079 ← → #10189099

Radix Representation

Decimal 10189088
Binary 100110110111100100100000 (24 bits)
Octal 0o46674440
Hexadecimal 0x9B7920

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,912 3,499 6,998 13,996 24,493 27,992 45,487 48,986 55,984 90,974 97,972 111,968 181,948 195,944 318,409 363,896 391,888 636,818 727,792 783,776 1,273,636 1,455,584 2,547,272 5,094,544 10,189,088

Collatz Trajectory (83 steps to reach 1)

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

10,189,088 5,094,544 2,547,272 1,273,636 636,818 318,409 955,228 477,614 238,807 716,422 358,211 1,074,634 537,317 1,611,952 805,976 402,988 201,494 100,747 302,242 151,121 453,364 226,682 113,341 340,024 170,012 85,006 42,503 127,510 63,755 191,266 95,633 286,900 143,450 71,725 215,176 107,588 53,794 26,897 80,692 40,346 20,173 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,189,087 Browse Full Index Next Integer #10,189,089 →