λ
Harmonic Matrix

9,316,762

2 × 72 × 13 × 71 × 103
Deficient Even Composite

9,316,762 has digital root 7. The neighboring primes are 9316759 and 9316777; its proper-divisor sum differs from the starting integer by -707,252.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 71 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,926,272
Proper Divisor Sum 8,609,510
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9316759 ← → #9316777

Radix Representation

Decimal 9316762
Binary 100011100010100110011010 (24 bits)
Octal 0o43424632
Hexadecimal 0x8E299A

Divisor Catalog (48)

1 2 7 13 14 26 49 71 91 98 103 142 182 206 497 637 721 923 994 1,274 1,339 1,442 1,846 2,678 3,479 5,047 6,461 6,958 7,313 9,373 10,094 12,922 14,626 18,746 45,227 51,191 65,611 90,454 95,069 102,382 131,222 190,138 358,337 665,483 716,674 1,330,966 4,658,381 9,316,762

Collatz Trajectory (75 steps to reach 1)

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

9,316,762 4,658,381 13,975,144 6,987,572 3,493,786 1,746,893 5,240,680 2,620,340 1,310,170 655,085 1,965,256 982,628 491,314 245,657 736,972 368,486 184,243 552,730 276,365 829,096 414,548 207,274 103,637 310,912 155,456 77,728 38,864 19,432 9,716 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

More profiles

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