λ
Harmonic Matrix

1,178,916

22 × 3 × 17 × 5779
Abundant Even Composite

1,178,916 has digital root 6. The neighboring primes are 1178909 and 1178921; its proper-divisor sum differs from the starting integer by 555,288.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 5779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,913,120
Proper Divisor Sum 1,734,204
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1178909 ← → #1178921

Radix Representation

Decimal 1178916
Binary 100011111110100100100 (21 bits)
Octal 0o4376444
Hexadecimal 0x11FD24

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 5,779 11,558 17,337 23,116 34,674 69,348 98,243 196,486 294,729 392,972 589,458 1,178,916

Collatz Trajectory (129 steps to reach 1)

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

1,178,916 589,458 294,729 884,188 442,094 221,047 663,142 331,571 994,714 497,357 1,492,072 746,036 373,018 186,509 559,528 279,764 139,882 69,941 209,824 104,912 52,456 26,228 13,114 6,557 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486

More profiles

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