λ
Harmonic Matrix

9,602,748

22 × 32 × 157 × 1699
Abundant Even Composite

9,602,748 has digital root 9. The neighboring primes are 9602743 and 9602767; its proper-divisor sum differs from the starting integer by 5,237,104.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 157 × 1699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,442,600
Proper Divisor Sum 14,839,852
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9602743 ← → #9602767

Radix Representation

Decimal 9602748
Binary 100100101000011010111100 (24 bits)
Octal 0o44503274
Hexadecimal 0x9286BC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 157 314 471 628 942 1,413 1,699 1,884 2,826 3,398 5,097 5,652 6,796 10,194 15,291 20,388 30,582 61,164 266,743 533,486 800,229 1,066,972 1,600,458 2,400,687 3,200,916 4,801,374 9,602,748

Collatz Trajectory (150 steps to reach 1)

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

9,602,748 4,801,374 2,400,687 7,202,062 3,601,031 10,803,094 5,401,547 16,204,642 8,102,321 24,306,964 12,153,482 6,076,741 18,230,224 9,115,112 4,557,556 2,278,778 1,139,389 3,418,168 1,709,084 854,542 427,271 1,281,814 640,907 1,922,722 961,361 2,884,084 1,442,042 721,021 2,163,064 1,081,532 540,766 270,383 811,150 405,575 1,216,726 608,363 1,825,090 912,545 2,737,636 1,368,818 684,409 2,053,228 1,026,614 513,307 1,539,922 769,961 2,309,884 1,154,942 577,471 1,732,414 866,207 2,598,622 1,299,311 3,897,934 1,948,967 5,846,902 2,923,451 8,770,354 4,385,177 13,155,532

More profiles

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