λ
Prime Ledger

9,648,702

2 × 32 × 7 × 73 × 1049
Abundant Even Composite

9,648,702 has the prime decomposition 2 × 3^2 × 7 × 73 × 1049. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 73 × 1049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,242,400
Proper Divisor Sum 14,593,698
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9648701 ← → #9648733

Radix Representation

Decimal 9648702
Binary 100100110011101000111110 (24 bits)
Octal 0o44635076
Hexadecimal 0x933A3E

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1,022 1,049 1,314 1,533 2,098 3,066 3,147 4,599 6,294 7,343 9,198 9,441 14,686 18,882 22,029 44,058 66,087 76,577 132,174 153,154 229,731 459,462 536,039 689,193 1,072,078 1,378,386 1,608,117 3,216,234 4,824,351 9,648,702

Collatz Trajectory (176 steps to reach 1)

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

9,648,702 4,824,351 14,473,054 7,236,527 21,709,582 10,854,791 32,564,374 16,282,187 48,846,562 24,423,281 73,269,844 36,634,922 18,317,461 54,952,384 27,476,192 13,738,096 6,869,048 3,434,524 1,717,262 858,631 2,575,894 1,287,947 3,863,842 1,931,921 5,795,764 2,897,882 1,448,941 4,346,824 2,173,412 1,086,706 543,353 1,630,060 815,030 407,515 1,222,546 611,273 1,833,820 916,910 458,455 1,375,366 687,683 2,063,050 1,031,525 3,094,576 1,547,288 773,644 386,822 193,411 580,234 290,117 870,352 435,176 217,588 108,794 54,397 163,192 81,596 40,798 20,399 61,198

More profiles

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