λ
Sigma Notebook

7,273,456

24 × 83 × 5477
Deficient Even Composite

7,273,456 is even and not a perfect square. Its factorization is 2^4 × 83 × 5477 and its 20 divisors sum to 14,264,712.

Prime Factor Structure

Factorization String 2^4 × 83 × 5477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,264,712
Proper Divisor Sum 6,991,256
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7273429 ← → #7273463

Radix Representation

Decimal 7273456
Binary 11011101111101111110000 (23 bits)
Octal 0o33575760
Hexadecimal 0x6EFBF0

Divisor Catalog (20)

1 2 4 8 16 83 166 332 664 1,328 5,477 10,954 21,908 43,816 87,632 454,591 909,182 1,818,364 3,636,728 7,273,456

Collatz Trajectory (235 steps to reach 1)

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

7,273,456 3,636,728 1,818,364 909,182 454,591 1,363,774 681,887 2,045,662 1,022,831 3,068,494 1,534,247 4,602,742 2,301,371 6,904,114 3,452,057 10,356,172 5,178,086 2,589,043 7,767,130 3,883,565 11,650,696 5,825,348 2,912,674 1,456,337 4,369,012 2,184,506 1,092,253 3,276,760 1,638,380 819,190 409,595 1,228,786 614,393 1,843,180 921,590 460,795 1,382,386 691,193 2,073,580 1,036,790 518,395 1,555,186 777,593 2,332,780 1,166,390 583,195 1,749,586 874,793 2,624,380 1,312,190 656,095 1,968,286 984,143 2,952,430 1,476,215 4,428,646 2,214,323 6,642,970 3,321,485 9,964,456

More profiles

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