λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,001,074

36,001,074

2 × 3 × 37 × 257 × 631
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 37 × 257 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,353,536
Proper Divisor Sum 38,352,462
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #36001051 ← → #36001079

Radix Representation

Decimal 36001074
Binary 10001001010101010100110010 (26 bits)
Octal 0o211252462
Hexadecimal 0x2255532

Divisor Catalog (32)

1 2 3 6 37 74 111 222 257 514 631 771 1,262 1,542 1,893 3,786 9,509 19,018 23,347 28,527 46,694 57,054 70,041 140,082 162,167 324,334 486,501 973,002 6,000,179 12,000,358 18,000,537 36,001,074

Collatz Trajectory (258 steps to reach 1)

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

36,001,074 18,000,537 54,001,612 27,000,806 13,500,403 40,501,210 20,250,605 60,751,816 30,375,908 15,187,954 7,593,977 22,781,932 11,390,966 5,695,483 17,086,450 8,543,225 25,629,676 12,814,838 6,407,419 19,222,258 9,611,129 28,833,388 14,416,694 7,208,347 21,625,042 10,812,521 32,437,564 16,218,782 8,109,391 24,328,174 12,164,087 36,492,262 18,246,131 54,738,394 27,369,197 82,107,592 41,053,796 20,526,898 10,263,449 30,790,348 15,395,174 7,697,587 23,092,762 11,546,381 34,639,144 17,319,572 8,659,786 4,329,893 12,989,680 6,494,840 3,247,420 1,623,710 811,855 2,435,566 1,217,783 3,653,350 1,826,675 5,480,026 2,740,013 8,220,040

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,001,073 Browse Full Index Next Integer #36,001,075 →