λ
Harmonic Matrix

7,055,575

52 × 367 × 769
Deficient Odd Composite

7,055,575 has digital root 7. The neighboring primes are 7055563 and 7055599; its proper-divisor sum differs from the starting integer by -5,326,990.

Prime Factor Structure

Factorization String 5^2 × 367 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,784,160
Proper Divisor Sum 1,728,585
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7055563 ← → #7055599

Radix Representation

Decimal 7055575
Binary 11010111010100011010111 (23 bits)
Octal 0o32724327
Hexadecimal 0x6BA8D7

Divisor Catalog (12)

1 5 25 367 769 1,835 3,845 9,175 19,225 282,223 1,411,115 7,055,575

Collatz Trajectory (147 steps to reach 1)

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

7,055,575 21,166,726 10,583,363 31,750,090 15,875,045 47,625,136 23,812,568 11,906,284 5,953,142 2,976,571 8,929,714 4,464,857 13,394,572 6,697,286 3,348,643 10,045,930 5,022,965 15,068,896 7,534,448 3,767,224 1,883,612 941,806 470,903 1,412,710 706,355 2,119,066 1,059,533 3,178,600 1,589,300 794,650 397,325 1,191,976 595,988 297,994 148,997 446,992 223,496 111,748 55,874 27,937 83,812 41,906 20,953 62,860 31,430 15,715 47,146 23,573 70,720 35,360 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244

More profiles

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