7,460,535

3 × 5 × 17² × 1721

Starting at 7,460,535, the Collatz iteration reaches 1 after 111 steps. The first transition is 22381606; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17^2 × 1721

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,687,696

Proper Divisor Sum 5,227,161

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7460513 ← → #7460611

Radix Representation

Decimal	7460535
Binary	11100011101011010110111 (23 bits)
Octal	0o34353267
Hexadecimal	0x71D6B7

Divisor Catalog (24)

1 3 5 15 17 51 85 255 289 867 1,445 1,721 4,335 5,163 8,605 25,815 29,257 87,771 146,285 438,855 497,369 1,492,107 2,486,845 7,460,535

Collatz Trajectory (111 steps to reach 1)

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

7,460,535 22,381,606 11,190,803 33,572,410 16,786,205 50,358,616 25,179,308 12,589,654 6,294,827 18,884,482 9,442,241 28,326,724 14,163,362 7,081,681 21,245,044 10,622,522 5,311,261 15,933,784 7,966,892 3,983,446 1,991,723 5,975,170 2,987,585 8,962,756 4,481,378 2,240,689 6,722,068 3,361,034 1,680,517 5,041,552 2,520,776 1,260,388 630,194 315,097 945,292 472,646 236,323 708,970 354,485 1,063,456 531,728 265,864 132,932 66,466 33,233 99,700 49,850 24,925 74,776 37,388 18,694 9,347 28,042 14,021 42,064 21,032 10,516 5,258 2,629 7,888

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