λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,518,102

17,518,102

2 × 7 × 61 × 73 × 281
Deficient Even Composite

17,518,102 factors as 2 × 7 × 61 × 73 × 281. Its 32 positive divisors give a proper-divisor sum of 13,533,482, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 7 × 61 × 73 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,051,584
Proper Divisor Sum 13,533,482
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17518093 ← → #17518129

Radix Representation

Decimal 17518102
Binary 1000010110100111000010110 (25 bits)
Octal 0o102647026
Hexadecimal 0x10B4E16

Divisor Catalog (32)

1 2 7 14 61 73 122 146 281 427 511 562 854 1,022 1,967 3,934 4,453 8,906 17,141 20,513 31,171 34,282 41,026 62,342 119,987 143,591 239,974 287,182 1,251,293 2,502,586 8,759,051 17,518,102

Collatz Trajectory (107 steps to reach 1)

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

17,518,102 8,759,051 26,277,154 13,138,577 39,415,732 19,707,866 9,853,933 29,561,800 14,780,900 7,390,450 3,695,225 11,085,676 5,542,838 2,771,419 8,314,258 4,157,129 12,471,388 6,235,694 3,117,847 9,353,542 4,676,771 14,030,314 7,015,157 21,045,472 10,522,736 5,261,368 2,630,684 1,315,342 657,671 1,973,014 986,507 2,959,522 1,479,761 4,439,284 2,219,642 1,109,821 3,329,464 1,664,732 832,366 416,183 1,248,550 624,275 1,872,826 936,413 2,809,240 1,404,620 702,310 351,155 1,053,466 526,733 1,580,200 790,100 395,050 197,525 592,576 296,288 148,144 74,072 37,036 18,518

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,518,101 Browse Full Index Next Integer #17,518,103 →