7,590,153

3 × 97 × 26083

Starting at 7,590,153, the Collatz iteration reaches 1 after 217 steps. The first transition is 22770460; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 97 × 26083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,224,928

Proper Divisor Sum 2,634,775

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7590127 ← → #7590157

Radix Representation

Decimal	7590153
Binary	11100111101000100001001 (23 bits)
Octal	0o34750411
Hexadecimal	0x73D109

Divisor Catalog (8)

1 3 97 291 26,083 78,249 2,530,051 7,590,153

Collatz Trajectory (217 steps to reach 1)

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

7,590,153 22,770,460 11,385,230 5,692,615 17,077,846 8,538,923 25,616,770 12,808,385 38,425,156 19,212,578 9,606,289 28,818,868 14,409,434 7,204,717 21,614,152 10,807,076 5,403,538 2,701,769 8,105,308 4,052,654 2,026,327 6,078,982 3,039,491 9,118,474 4,559,237 13,677,712 6,838,856 3,419,428 1,709,714 854,857 2,564,572 1,282,286 641,143 1,923,430 961,715 2,885,146 1,442,573 4,327,720 2,163,860 1,081,930 540,965 1,622,896 811,448 405,724 202,862 101,431 304,294 152,147 456,442 228,221 684,664 342,332 171,166 85,583 256,750 128,375 385,126 192,563 577,690 288,845

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