λ
Harmonic Matrix

9,175,601

9175601
Deficient Odd Prime

9,175,601 has digital root 2. The neighboring primes are 9175591 and 9175619; its proper-divisor sum differs from the starting integer by -9,175,600.

Prime Factor Structure

Factorization String 9175601
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,175,602
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9175591 ← → #9175619

Radix Representation

Decimal 9175601
Binary 100011000000001000110001 (24 bits)
Octal 0o43001061
Hexadecimal 0x8C0231

Divisor Catalog (2)

Collatz Trajectory (132 steps to reach 1)

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

9,175,601 27,526,804 13,763,402 6,881,701 20,645,104 10,322,552 5,161,276 2,580,638 1,290,319 3,870,958 1,935,479 5,806,438 2,903,219 8,709,658 4,354,829 13,064,488 6,532,244 3,266,122 1,633,061 4,899,184 2,449,592 1,224,796 612,398 306,199 918,598 459,299 1,377,898 688,949 2,066,848 1,033,424 516,712 258,356 129,178 64,589 193,768 96,884 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210

More profiles

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