λ
Harmonic Matrix

9,889,752

23 × 3 × 412073
Abundant Even Composite

9,889,752 has digital root 3. The neighboring primes are 9889741 and 9889753; its proper-divisor sum differs from the starting integer by 4,944,936.

Prime Factor Structure

Factorization String 2^3 × 3 × 412073
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 24,724,440
Proper Divisor Sum 14,834,688
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9889741 ← → #9889753

Radix Representation

Decimal 9889752
Binary 100101101110011111011000 (24 bits)
Octal 0o45563730
Hexadecimal 0x96E7D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 412,073 824,146 1,236,219 1,648,292 2,472,438 3,296,584 4,944,876 9,889,752

Collatz Trajectory (114 steps to reach 1)

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

9,889,752 4,944,876 2,472,438 1,236,219 3,708,658 1,854,329 5,562,988 2,781,494 1,390,747 4,172,242 2,086,121 6,258,364 3,129,182 1,564,591 4,693,774 2,346,887 7,040,662 3,520,331 10,560,994 5,280,497 15,841,492 7,920,746 3,960,373 11,881,120 5,940,560 2,970,280 1,485,140 742,570 371,285 1,113,856 556,928 278,464 139,232 69,616 34,808 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457

More profiles

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