λ
Harmonic Matrix

9,362,061

35 × 59 × 653
Deficient Odd Composite

9,362,061 has digital root 9. The neighboring primes are 9362057 and 9362069; its proper-divisor sum differs from the starting integer by -4,440,762.

Prime Factor Structure

Factorization String 3^5 × 59 × 653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,283,360
Proper Divisor Sum 4,921,299
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9362057 ← → #9362069

Radix Representation

Decimal 9362061
Binary 100011101101101010001101 (24 bits)
Octal 0o43555215
Hexadecimal 0x8EDA8D

Divisor Catalog (24)

1 3 9 27 59 81 177 243 531 653 1,593 1,959 4,779 5,877 14,337 17,631 38,527 52,893 115,581 158,679 346,743 1,040,229 3,120,687 9,362,061

Collatz Trajectory (132 steps to reach 1)

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

9,362,061 28,086,184 14,043,092 7,021,546 3,510,773 10,532,320 5,266,160 2,633,080 1,316,540 658,270 329,135 987,406 493,703 1,481,110 740,555 2,221,666 1,110,833 3,332,500 1,666,250 833,125 2,499,376 1,249,688 624,844 312,422 156,211 468,634 234,317 702,952 351,476 175,738 87,869 263,608 131,804 65,902 32,951 98,854 49,427 148,282 74,141 222,424 111,212 55,606 27,803 83,410 41,705 125,116 62,558 31,279 93,838 46,919 140,758 70,379 211,138 105,569 316,708 158,354 79,177 237,532 118,766 59,383

More profiles

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