λ
Sigma Notebook

7,563,265

5 × 421 × 3593
Deficient Odd Composite

7,563,265 is odd and not a perfect square. Its factorization is 5 × 421 × 3593 and its 8 divisors sum to 9,100,008.

Prime Factor Structure

Factorization String 5 × 421 × 3593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,100,008
Proper Divisor Sum 1,536,743
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7563239 ← → #7563277

Radix Representation

Decimal 7563265
Binary 11100110110100000000001 (23 bits)
Octal 0o34664001
Hexadecimal 0x736801

Divisor Catalog (8)

1 5 421 2,105 3,593 17,965 1,512,653 7,563,265

Collatz Trajectory (155 steps to reach 1)

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

7,563,265 22,689,796 11,344,898 5,672,449 17,017,348 8,508,674 4,254,337 12,763,012 6,381,506 3,190,753 9,572,260 4,786,130 2,393,065 7,179,196 3,589,598 1,794,799 5,384,398 2,692,199 8,076,598 4,038,299 12,114,898 6,057,449 18,172,348 9,086,174 4,543,087 13,629,262 6,814,631 20,443,894 10,221,947 30,665,842 15,332,921 45,998,764 22,999,382 11,499,691 34,499,074 17,249,537 51,748,612 25,874,306 12,937,153 38,811,460 19,405,730 9,702,865 29,108,596 14,554,298 7,277,149 21,831,448 10,915,724 5,457,862 2,728,931 8,186,794 4,093,397 12,280,192 6,140,096 3,070,048 1,535,024 767,512 383,756 191,878 95,939 287,818

More profiles

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