λ
Harmonic Matrix

6,045,307

223 × 27109
Deficient Odd Composite

6,045,307 has digital root 7. The neighboring primes are 6045301 and 6045313; its proper-divisor sum differs from the starting integer by -6,017,974.

Prime Factor Structure

Factorization String 223 × 27109
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,072,640
Proper Divisor Sum 27,333
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6045301 ← → #6045313

Radix Representation

Decimal 6045307
Binary 10111000011111001111011 (23 bits)
Octal 0o27037173
Hexadecimal 0x5C3E7B

Divisor Catalog (4)

1 223 27,109 6,045,307

Collatz Trajectory (90 steps to reach 1)

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

6,045,307 18,135,922 9,067,961 27,203,884 13,601,942 6,800,971 20,402,914 10,201,457 30,604,372 15,302,186 7,651,093 22,953,280 11,476,640 5,738,320 2,869,160 1,434,580 717,290 358,645 1,075,936 537,968 268,984 134,492 67,246 33,623 100,870 50,435 151,306 75,653 226,960 113,480 56,740 28,370 14,185 42,556 21,278 10,639 31,918 15,959 47,878 23,939 71,818 35,909 107,728 53,864 26,932 13,466 6,733 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066

More profiles

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