λ
Sigma Notebook

7,271,272

23 × 908909
Deficient Even Composite

7,271,272 is even and not a perfect square. Its factorization is 2^3 × 908909 and its 8 divisors sum to 13,633,650.

Prime Factor Structure

Factorization String 2^3 × 908909
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,633,650
Proper Divisor Sum 6,362,378
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7271237 ← → #7271273

Radix Representation

Decimal 7271272
Binary 11011101111001101101000 (23 bits)
Octal 0o33571550
Hexadecimal 0x6EF368

Divisor Catalog (8)

1 2 4 8 908,909 1,817,818 3,635,636 7,271,272

Collatz Trajectory (111 steps to reach 1)

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

7,271,272 3,635,636 1,817,818 908,909 2,726,728 1,363,364 681,682 340,841 1,022,524 511,262 255,631 766,894 383,447 1,150,342 575,171 1,725,514 862,757 2,588,272 1,294,136 647,068 323,534 161,767 485,302 242,651 727,954 363,977 1,091,932 545,966 272,983 818,950 409,475 1,228,426 614,213 1,842,640 921,320 460,660 230,330 115,165 345,496 172,748 86,374 43,187 129,562 64,781 194,344 97,172 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688

More profiles

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