λ
Harmonic Matrix

9,007,951

292 × 10711
Deficient Odd Composite

9,007,951 has digital root 4. The neighboring primes are 9007939 and 9007961; its proper-divisor sum differs from the starting integer by -8,685,750.

Prime Factor Structure

Factorization String 29^2 × 10711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,330,152
Proper Divisor Sum 322,201
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9007939 ← → #9007961

Radix Representation

Decimal 9007951
Binary 100010010111001101001111 (24 bits)
Octal 0o42271517
Hexadecimal 0x89734F

Divisor Catalog (6)

1 29 841 10,711 310,619 9,007,951

Collatz Trajectory (88 steps to reach 1)

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

9,007,951 27,023,854 13,511,927 40,535,782 20,267,891 60,803,674 30,401,837 91,205,512 45,602,756 22,801,378 11,400,689 34,202,068 17,101,034 8,550,517 25,651,552 12,825,776 6,412,888 3,206,444 1,603,222 801,611 2,404,834 1,202,417 3,607,252 1,803,626 901,813 2,705,440 1,352,720 676,360 338,180 169,090 84,545 253,636 126,818 63,409 190,228 95,114 47,557 142,672 71,336 35,668 17,834 8,917 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

More profiles

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