λ
Modular Archive

9,720,513

33 × 11 × 23 × 1423
Deficient Odd Composite

The decimal integer 9,720,513 is 100101000101001011000001 in binary (24 bits), 45051301 in octal and 9452C1 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^3 × 11 × 23 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,404,480
Proper Divisor Sum 6,683,967
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9720497 ← → #9720521

Radix Representation

Decimal 9720513
Binary 100101000101001011000001 (24 bits)
Octal 0o45051301
Hexadecimal 0x9452C1

Divisor Catalog (32)

1 3 9 11 23 27 33 69 99 207 253 297 621 759 1,423 2,277 4,269 6,831 12,807 15,653 32,729 38,421 46,959 98,187 140,877 294,561 360,019 422,631 883,683 1,080,057 3,240,171 9,720,513

Collatz Trajectory (62 steps to reach 1)

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

9,720,513 29,161,540 14,580,770 7,290,385 21,871,156 10,935,578 5,467,789 16,403,368 8,201,684 4,100,842 2,050,421 6,151,264 3,075,632 1,537,816 768,908 384,454 192,227 576,682 288,341 865,024 432,512 216,256 108,128 54,064 27,032 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8

More profiles

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