λ
Prime Ledger

7,567,075

52 × 53 × 5711
Deficient Odd Composite

7,567,075 has the prime decomposition 5^2 × 53 × 5711. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 53 × 5711
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,561,888
Proper Divisor Sum 1,994,813
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7567061 ← → #7567081

Radix Representation

Decimal 7567075
Binary 11100110111011011100011 (23 bits)
Octal 0o34673343
Hexadecimal 0x7376E3

Divisor Catalog (12)

1 5 25 53 265 1,325 5,711 28,555 142,775 302,683 1,513,415 7,567,075

Collatz Trajectory (80 steps to reach 1)

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

7,567,075 22,701,226 11,350,613 34,051,840 17,025,920 8,512,960 4,256,480 2,128,240 1,064,120 532,060 266,030 133,015 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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