λ
Sigma Notebook

7,536,435

3 × 5 × 502429
Deficient Odd Composite

7,536,435 is odd and not a perfect square. Its factorization is 3 × 5 × 502429 and its 8 divisors sum to 12,058,320.

Prime Factor Structure

Factorization String 3 × 5 × 502429
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,058,320
Proper Divisor Sum 4,521,885
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7536427 ← → #7536443

Radix Representation

Decimal 7536435
Binary 11100101111111100110011 (23 bits)
Octal 0o34577463
Hexadecimal 0x72FF33

Divisor Catalog (8)

1 3 5 15 502,429 1,507,287 2,512,145 7,536,435

Collatz Trajectory (155 steps to reach 1)

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

7,536,435 22,609,306 11,304,653 33,913,960 16,956,980 8,478,490 4,239,245 12,717,736 6,358,868 3,179,434 1,589,717 4,769,152 2,384,576 1,192,288 596,144 298,072 149,036 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806

More profiles

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