7,689,184

2⁵ × 240287

7,689,184 factors as 2^5 × 240287. Its 12 positive divisors give a proper-divisor sum of 7,448,960, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^5 × 240287

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,138,144

Proper Divisor Sum 7,448,960

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7689139 ← → #7689191

Radix Representation

Decimal	7689184
Binary	11101010101001111100000 (23 bits)
Octal	0o35251740
Hexadecimal	0x7553E0

Divisor Catalog (12)

1 2 4 8 16 32 240,287 480,574 961,148 1,922,296 3,844,592 7,689,184

Collatz Trajectory (217 steps to reach 1)

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

7,689,184 3,844,592 1,922,296 961,148 480,574 240,287 720,862 360,431 1,081,294 540,647 1,621,942 810,971 2,432,914 1,216,457 3,649,372 1,824,686 912,343 2,737,030 1,368,515 4,105,546 2,052,773 6,158,320 3,079,160 1,539,580 769,790 384,895 1,154,686 577,343 1,732,030 866,015 2,598,046 1,299,023 3,897,070 1,948,535 5,845,606 2,922,803 8,768,410 4,384,205 13,152,616 6,576,308 3,288,154 1,644,077 4,932,232 2,466,116 1,233,058 616,529 1,849,588 924,794 462,397 1,387,192 693,596 346,798 173,399 520,198 260,099 780,298 390,149 1,170,448 585,224 292,612

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