λ
Harmonic Matrix

7,137,775

52 × 53 × 5387
Deficient Odd Composite

7,137,775 has digital root 1. The neighboring primes are 7137769 and 7137817; its proper-divisor sum differs from the starting integer by -5,256,038.

Prime Factor Structure

Factorization String 5^2 × 53 × 5387
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,019,512
Proper Divisor Sum 1,881,737
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7137769 ← → #7137817

Radix Representation

Decimal 7137775
Binary 11011001110100111101111 (23 bits)
Octal 0o33164757
Hexadecimal 0x6CE9EF

Divisor Catalog (12)

1 5 25 53 265 1,325 5,387 26,935 134,675 285,511 1,427,555 7,137,775

Collatz Trajectory (121 steps to reach 1)

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

7,137,775 21,413,326 10,706,663 32,119,990 16,059,995 48,179,986 24,089,993 72,269,980 36,134,990 18,067,495 54,202,486 27,101,243 81,303,730 40,651,865 121,955,596 60,977,798 30,488,899 91,466,698 45,733,349 137,200,048 68,600,024 34,300,012 17,150,006 8,575,003 25,725,010 12,862,505 38,587,516 19,293,758 9,646,879 28,940,638 14,470,319 43,410,958 21,705,479 65,116,438 32,558,219 97,674,658 48,837,329 146,511,988 73,255,994 36,627,997 109,883,992 54,941,996 27,470,998 13,735,499 41,206,498 20,603,249 61,809,748 30,904,874 15,452,437 46,357,312 23,178,656 11,589,328 5,794,664 2,897,332 1,448,666 724,333 2,173,000 1,086,500 543,250 271,625

More profiles

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