λ
Harmonic Matrix

6,029,361

32 × 13 × 29 × 1777
Deficient Odd Composite

6,029,361 has digital root 9. The neighboring primes are 6029329 and 6029363; its proper-divisor sum differs from the starting integer by -2,350,842.

Prime Factor Structure

Factorization String 3^2 × 13 × 29 × 1777
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,707,880
Proper Divisor Sum 3,678,519
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6029329 ← → #6029363

Radix Representation

Decimal 6029361
Binary 10111000000000000110001 (23 bits)
Octal 0o27000061
Hexadecimal 0x5C0031

Divisor Catalog (24)

1 3 9 13 29 39 87 117 261 377 1,131 1,777 3,393 5,331 15,993 23,101 51,533 69,303 154,599 207,909 463,797 669,929 2,009,787 6,029,361

Collatz Trajectory (139 steps to reach 1)

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

6,029,361 18,088,084 9,044,042 4,522,021 13,566,064 6,783,032 3,391,516 1,695,758 847,879 2,543,638 1,271,819 3,815,458 1,907,729 5,723,188 2,861,594 1,430,797 4,292,392 2,146,196 1,073,098 536,549 1,609,648 804,824 402,412 201,206 100,603 301,810 150,905 452,716 226,358 113,179 339,538 169,769 509,308 254,654 127,327 381,982 190,991 572,974 286,487 859,462 429,731 1,289,194 644,597 1,933,792 966,896 483,448 241,724 120,862 60,431 181,294 90,647 271,942 135,971 407,914 203,957 611,872 305,936 152,968 76,484 38,242

More profiles

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