λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,734,124

36,734,124

22 × 3 × 72 × 62473
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 62473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 99,708,504
Proper Divisor Sum 62,974,380
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36734123 ← → #36734129

Radix Representation

Decimal 36734124
Binary 10001100001000010010101100 (26 bits)
Octal 0o214102254
Hexadecimal 0x23084AC

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 62,473 124,946 187,419 249,892 374,838 437,311 749,676 874,622 1,311,933 1,749,244 2,623,866 3,061,177 5,247,732 6,122,354 9,183,531 12,244,708 18,367,062 36,734,124

Collatz Trajectory (227 steps to reach 1)

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

36,734,124 18,367,062 9,183,531 27,550,594 13,775,297 41,325,892 20,662,946 10,331,473 30,994,420 15,497,210 7,748,605 23,245,816 11,622,908 5,811,454 2,905,727 8,717,182 4,358,591 13,075,774 6,537,887 19,613,662 9,806,831 29,420,494 14,710,247 44,130,742 22,065,371 66,196,114 33,098,057 99,294,172 49,647,086 24,823,543 74,470,630 37,235,315 111,705,946 55,852,973 167,558,920 83,779,460 41,889,730 20,944,865 62,834,596 31,417,298 15,708,649 47,125,948 23,562,974 11,781,487 35,344,462 17,672,231 53,016,694 26,508,347 79,525,042 39,762,521 119,287,564 59,643,782 29,821,891 89,465,674 44,732,837 134,198,512 67,099,256 33,549,628 16,774,814 8,387,407

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,734,123 Browse Full Index Next Integer #36,734,125 →