λ
Harmonic Matrix

1,788,504

23 × 3 × 74521
Abundant Even Composite

1,788,504 has digital root 6. The neighboring primes are 1788497 and 1788509; its proper-divisor sum differs from the starting integer by 894,312.

Prime Factor Structure

Factorization String 2^3 × 3 × 74521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,471,320
Proper Divisor Sum 2,682,816
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1788497 ← → #1788509

Radix Representation

Decimal 1788504
Binary 110110100101001011000 (21 bits)
Octal 0o6645130
Hexadecimal 0x1B4A58

Divisor Catalog (16)

1 2 3 4 6 8 12 24 74,521 149,042 223,563 298,084 447,126 596,168 894,252 1,788,504

Collatz Trajectory (140 steps to reach 1)

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

1,788,504 894,252 447,126 223,563 670,690 335,345 1,006,036 503,018 251,509 754,528 377,264 188,632 94,316 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710 35,855 107,566 53,783 161,350 80,675 242,026 121,013 363,040 181,520 90,760 45,380 22,690 11,345

More profiles

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