7,610,106

2 × 3 × 7 × 181193

7,610,106 factors as 2 × 3 × 7 × 181193. Its 16 positive divisors give a proper-divisor sum of 9,784,518, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 181193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,394,624

Proper Divisor Sum 9,784,518

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7610081 ← → #7610107

Radix Representation

Decimal	7610106
Binary	11101000001111011111010 (23 bits)
Octal	0o35017372
Hexadecimal	0x741EFA

Divisor Catalog (16)

1 2 3 6 7 14 21 42 181,193 362,386 543,579 1,087,158 1,268,351 2,536,702 3,805,053 7,610,106

Collatz Trajectory (103 steps to reach 1)

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

7,610,106 3,805,053 11,415,160 5,707,580 2,853,790 1,426,895 4,280,686 2,140,343 6,421,030 3,210,515 9,631,546 4,815,773 14,447,320 7,223,660 3,611,830 1,805,915 5,417,746 2,708,873 8,126,620 4,063,310 2,031,655 6,094,966 3,047,483 9,142,450 4,571,225 13,713,676 6,856,838 3,428,419 10,285,258 5,142,629 15,427,888 7,713,944 3,856,972 1,928,486 964,243 2,892,730 1,446,365 4,339,096 2,169,548 1,084,774 542,387 1,627,162 813,581 2,440,744 1,220,372 610,186 305,093 915,280 457,640 228,820 114,410 57,205 171,616 85,808 42,904 21,452 10,726 5,363 16,090 8,045

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,610,105 Browse Full Index Next Integer #7,610,107 →