λ
Sigma Notebook

9,797,457

3 × 17 × 31 × 6197
Deficient Odd Composite

9,797,457 is odd and not a perfect square. Its factorization is 3 × 17 × 31 × 6197 and its 16 divisors sum to 14,280,192.

Prime Factor Structure

Factorization String 3 × 17 × 31 × 6197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,280,192
Proper Divisor Sum 4,482,735
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9797449 ← → #9797461

Radix Representation

Decimal 9797457
Binary 100101010111111101010001 (24 bits)
Octal 0o45277521
Hexadecimal 0x957F51

Divisor Catalog (16)

1 3 17 31 51 93 527 1,581 6,197 18,591 105,349 192,107 316,047 576,321 3,265,819 9,797,457

Collatz Trajectory (220 steps to reach 1)

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

9,797,457 29,392,372 14,696,186 7,348,093 22,044,280 11,022,140 5,511,070 2,755,535 8,266,606 4,133,303 12,399,910 6,199,955 18,599,866 9,299,933 27,899,800 13,949,900 6,974,950 3,487,475 10,462,426 5,231,213 15,693,640 7,846,820 3,923,410 1,961,705 5,885,116 2,942,558 1,471,279 4,413,838 2,206,919 6,620,758 3,310,379 9,931,138 4,965,569 14,896,708 7,448,354 3,724,177 11,172,532 5,586,266 2,793,133 8,379,400 4,189,700 2,094,850 1,047,425 3,142,276 1,571,138 785,569 2,356,708 1,178,354 589,177 1,767,532 883,766 441,883 1,325,650 662,825 1,988,476 994,238 497,119 1,491,358 745,679 2,237,038

More profiles

← Previous Integer #9,797,456 Browse Full Index Next Integer #9,797,458 →