λ
Harmonic Matrix

7,501,264

24 × 43 × 10903
Deficient Even Composite

7,501,264 has digital root 7. The neighboring primes are 7501217 and 7501297; its proper-divisor sum differs from the starting integer by -129,472.

Prime Factor Structure

Factorization String 2^4 × 43 × 10903
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,873,056
Proper Divisor Sum 7,371,792
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7501217 ← → #7501297

Radix Representation

Decimal 7501264
Binary 11100100111010111010000 (23 bits)
Octal 0o34472720
Hexadecimal 0x7275D0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 10,903 21,806 43,612 87,224 174,448 468,829 937,658 1,875,316 3,750,632 7,501,264

Collatz Trajectory (111 steps to reach 1)

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

7,501,264 3,750,632 1,875,316 937,658 468,829 1,406,488 703,244 351,622 175,811 527,434 263,717 791,152 395,576 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937

More profiles

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