λ
Harmonic Matrix

5,851,521

34 × 13 × 5557
Deficient Odd Composite

5,851,521 has digital root 9. The neighboring primes are 5851511 and 5851523; its proper-divisor sum differs from the starting integer by -2,287,790.

Prime Factor Structure

Factorization String 3^4 × 13 × 5557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,415,252
Proper Divisor Sum 3,563,731
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5851511 ← → #5851523

Radix Representation

Decimal 5851521
Binary 10110010100100110000001 (23 bits)
Octal 0o26244601
Hexadecimal 0x594981

Divisor Catalog (20)

1 3 9 13 27 39 81 117 351 1,053 5,557 16,671 50,013 72,241 150,039 216,723 450,117 650,169 1,950,507 5,851,521

Collatz Trajectory (201 steps to reach 1)

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

5,851,521 17,554,564 8,777,282 4,388,641 13,165,924 6,582,962 3,291,481 9,874,444 4,937,222 2,468,611 7,405,834 3,702,917 11,108,752 5,554,376 2,777,188 1,388,594 694,297 2,082,892 1,041,446 520,723 1,562,170 781,085 2,343,256 1,171,628 585,814 292,907 878,722 439,361 1,318,084 659,042 329,521 988,564 494,282 247,141 741,424 370,712 185,356 92,678 46,339 139,018 69,509 208,528 104,264 52,132 26,066 13,033 39,100 19,550 9,775 29,326 14,663 43,990 21,995 65,986 32,993 98,980 49,490 24,745 74,236 37,118

More profiles

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