λ
Harmonic Matrix

8,946,787

8946787
Deficient Odd Prime

8,946,787 has digital root 4. The neighboring primes are 8946767 and 8946797; its proper-divisor sum differs from the starting integer by -8,946,786.

Prime Factor Structure

Factorization String 8946787
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,946,788
Proper Divisor Sum 1
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8946767 ← → #8946797

Radix Representation

Decimal 8946787
Binary 100010001000010001100011 (24 bits)
Octal 0o42102143
Hexadecimal 0x888463

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

8,946,787 26,840,362 13,420,181 40,260,544 20,130,272 10,065,136 5,032,568 2,516,284 1,258,142 629,071 1,887,214 943,607 2,830,822 1,415,411 4,246,234 2,123,117 6,369,352 3,184,676 1,592,338 796,169 2,388,508 1,194,254 597,127 1,791,382 895,691 2,687,074 1,343,537 4,030,612 2,015,306 1,007,653 3,022,960 1,511,480 755,740 377,870 188,935 566,806 283,403 850,210 425,105 1,275,316 637,658 318,829 956,488 478,244 239,122 119,561 358,684 179,342 89,671 269,014 134,507 403,522 201,761 605,284 302,642 151,321 453,964 226,982 113,491 340,474

More profiles

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