λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,707,742

9,707,742

2 × 33 × 11 × 59 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 59 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,019,200
Proper Divisor Sum 14,311,458
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9707741 ← → #9707767

Radix Representation

Decimal 9707742
Binary 100101000010000011011110 (24 bits)
Octal 0o45020336
Hexadecimal 0x9420DE

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 277 297 354 531 554 594 649 831 1,062 1,298 1,593 1,662 1,947 2,493 3,047 3,186 3,894 4,986 5,841 6,094 7,479 9,141 11,682 14,958 16,343 17,523 18,282 27,423 32,686 35,046 49,029 54,846 82,269 98,058 147,087 164,538 179,773 294,174 359,546 441,261 539,319 882,522 1,078,638

Collatz Trajectory (176 steps to reach 1)

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

9,707,742 4,853,871 14,561,614 7,280,807 21,842,422 10,921,211 32,763,634 16,381,817 49,145,452 24,572,726 12,286,363 36,859,090 18,429,545 55,288,636 27,644,318 13,822,159 41,466,478 20,733,239 62,199,718 31,099,859 93,299,578 46,649,789 139,949,368 69,974,684 34,987,342 17,493,671 52,481,014 26,240,507 78,721,522 39,360,761 118,082,284 59,041,142 29,520,571 88,561,714 44,280,857 132,842,572 66,421,286 33,210,643 99,631,930 49,815,965 149,447,896 74,723,948 37,361,974 18,680,987 56,042,962 28,021,481 84,064,444 42,032,222 21,016,111 63,048,334 31,524,167 94,572,502 47,286,251 141,858,754 70,929,377 212,788,132 106,394,066 53,197,033 159,591,100 79,795,550

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,707,741 Browse Full Index Next Integer #9,707,743 →