9,770,736

2⁴ × 3 × 47 × 61 × 71

For 9,770,736, the 80 positive divisors have a total of 26,569,728. Removing 9,770,736 leaves 16,798,992, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 47 × 61 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 26,569,728

Proper Divisor Sum 16,798,992

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9770723 ← → #9770737

Radix Representation

Decimal	9770736
Binary	100101010001011011110000 (24 bits)
Octal	0o45213360
Hexadecimal	0x9516F0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 24 47 48 61 71 94 122 141 142 183 188 213 244 282 284 366 376 426 488 564 568 732 752 852 976 1,128 1,136 1,464 1,704 2,256 2,867 2,928 3,337 3,408 4,331 5,734 6,674 8,601 8,662 10,011 11,468 12,993 13,348 17,202 17,324 20,022 22,936 25,986 26,696 34,404 34,648 40,044

Collatz Trajectory (225 steps to reach 1)

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

9,770,736 4,885,368 2,442,684 1,221,342 610,671 1,832,014 916,007 2,748,022 1,374,011 4,122,034 2,061,017 6,183,052 3,091,526 1,545,763 4,637,290 2,318,645 6,955,936 3,477,968 1,738,984 869,492 434,746 217,373 652,120 326,060 163,030 81,515 244,546 122,273 366,820 183,410 91,705 275,116 137,558 68,779 206,338 103,169 309,508 154,754 77,377 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331

← Previous Integer #9,770,735 Browse Full Index Next Integer #9,770,737 →