λ
Harmonic Matrix

8,988,310

2 × 5 × 251 × 3581
Deficient Even Composite

8,988,310 has digital root 1. The neighboring primes are 8988281 and 8988337; its proper-divisor sum differs from the starting integer by -1,728,668.

Prime Factor Structure

Factorization String 2 × 5 × 251 × 3581
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,247,952
Proper Divisor Sum 7,259,642
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8988281 ← → #8988337

Radix Representation

Decimal 8988310
Binary 100010010010011010010110 (24 bits)
Octal 0o42223226
Hexadecimal 0x892696

Divisor Catalog (16)

1 2 5 10 251 502 1,255 2,510 3,581 7,162 17,905 35,810 898,831 1,797,662 4,494,155 8,988,310

Collatz Trajectory (243 steps to reach 1)

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

8,988,310 4,494,155 13,482,466 6,741,233 20,223,700 10,111,850 5,055,925 15,167,776 7,583,888 3,791,944 1,895,972 947,986 473,993 1,421,980 710,990 355,495 1,066,486 533,243 1,599,730 799,865 2,399,596 1,199,798 599,899 1,799,698 899,849 2,699,548 1,349,774 674,887 2,024,662 1,012,331 3,036,994 1,518,497 4,555,492 2,277,746 1,138,873 3,416,620 1,708,310 854,155 2,562,466 1,281,233 3,843,700 1,921,850 960,925 2,882,776 1,441,388 720,694 360,347 1,081,042 540,521 1,621,564 810,782 405,391 1,216,174 608,087 1,824,262 912,131 2,736,394 1,368,197 4,104,592 2,052,296

More profiles

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