λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,210,158

26,210,158

2 × 13 × 17 × 19 × 3121
Deficient Even Composite

26,210,158 factors as 2 × 13 × 17 × 19 × 3121. Its 32 positive divisors give a proper-divisor sum of 20,994,482, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 19 × 3121
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,204,640
Proper Divisor Sum 20,994,482
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26210123 ← → #26210167

Radix Representation

Decimal 26210158
Binary 1100011111110111101101110 (25 bits)
Octal 0o143767556
Hexadecimal 0x18FEF6E

Divisor Catalog (32)

1 2 13 17 19 26 34 38 221 247 323 442 494 646 3,121 4,199 6,242 8,398 40,573 53,057 59,299 81,146 106,114 118,598 689,741 770,887 1,008,083 1,379,482 1,541,774 2,016,166 13,105,079 26,210,158

Collatz Trajectory (92 steps to reach 1)

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

26,210,158 13,105,079 39,315,238 19,657,619 58,972,858 29,486,429 88,459,288 44,229,644 22,114,822 11,057,411 33,172,234 16,586,117 49,758,352 24,879,176 12,439,588 6,219,794 3,109,897 9,329,692 4,664,846 2,332,423 6,997,270 3,498,635 10,495,906 5,247,953 15,743,860 7,871,930 3,935,965 11,807,896 5,903,948 2,951,974 1,475,987 4,427,962 2,213,981 6,641,944 3,320,972 1,660,486 830,243 2,490,730 1,245,365 3,736,096 1,868,048 934,024 467,012 233,506 116,753 350,260 175,130 87,565 262,696 131,348 65,674 32,837 98,512 49,256 24,628 12,314 6,157 18,472 9,236 4,618

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #26,210,157 Browse Full Index Next Integer #26,210,159 →