λ
Harmonic Matrix

7,178,440

23 × 5 × 179461
Abundant Even Composite

7,178,440 has digital root 4. The neighboring primes are 7178417 and 7178443; its proper-divisor sum differs from the starting integer by 1,794,700.

Prime Factor Structure

Factorization String 2^3 × 5 × 179461
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,151,580
Proper Divisor Sum 8,973,140
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7178417 ← → #7178443

Radix Representation

Decimal 7178440
Binary 11011011000100011001000 (23 bits)
Octal 0o33304310
Hexadecimal 0x6D88C8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 179,461 358,922 717,844 897,305 1,435,688 1,794,610 3,589,220 7,178,440

Collatz Trajectory (129 steps to reach 1)

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

7,178,440 3,589,220 1,794,610 897,305 2,691,916 1,345,958 672,979 2,018,938 1,009,469 3,028,408 1,514,204 757,102 378,551 1,135,654 567,827 1,703,482 851,741 2,555,224 1,277,612 638,806 319,403 958,210 479,105 1,437,316 718,658 359,329 1,077,988 538,994 269,497 808,492 404,246 202,123 606,370 303,185 909,556 454,778 227,389 682,168 341,084 170,542 85,271 255,814 127,907 383,722 191,861 575,584 287,792 143,896 71,948 35,974 17,987 53,962 26,981 80,944 40,472 20,236 10,118 5,059 15,178 7,589

More profiles

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