λ
Harmonic Matrix

6,032,998

2 × 37 × 81527
Deficient Even Composite

6,032,998 has digital root 1. The neighboring primes are 6032963 and 6033023; its proper-divisor sum differs from the starting integer by -2,771,804.

Prime Factor Structure

Factorization String 2 × 37 × 81527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,294,192
Proper Divisor Sum 3,261,194
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6032963 ← → #6033023

Radix Representation

Decimal 6032998
Binary 10111000000111001100110 (23 bits)
Octal 0o27007146
Hexadecimal 0x5C0E66

Divisor Catalog (8)

1 2 37 74 81,527 163,054 3,016,499 6,032,998

Collatz Trajectory (90 steps to reach 1)

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

6,032,998 3,016,499 9,049,498 4,524,749 13,574,248 6,787,124 3,393,562 1,696,781 5,090,344 2,545,172 1,272,586 636,293 1,908,880 954,440 477,220 238,610 119,305 357,916 178,958 89,479 268,438 134,219 402,658 201,329 603,988 301,994 150,997 452,992 226,496 113,248 56,624 28,312 14,156 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064

More profiles

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