7,016,261

7² × 31² × 149

7,016,261 has the prime decomposition 7^2 × 31^2 × 149. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 31^2 × 149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,490,150

Proper Divisor Sum 1,473,889

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7016237 ← → #7016279

Radix Representation

Decimal	7016261
Binary	11010110000111101000101 (23 bits)
Octal	0o32607505
Hexadecimal	0x6B0F45

Divisor Catalog (18)

1 7 31 49 149 217 961 1,043 1,519 4,619 6,727 7,301 32,333 47,089 143,189 226,331 1,002,323 7,016,261

Collatz Trajectory (178 steps to reach 1)

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

7,016,261 21,048,784 10,524,392 5,262,196 2,631,098 1,315,549 3,946,648 1,973,324 986,662 493,331 1,479,994 739,997 2,219,992 1,109,996 554,998 277,499 832,498 416,249 1,248,748 624,374 312,187 936,562 468,281 1,404,844 702,422 351,211 1,053,634 526,817 1,580,452 790,226 395,113 1,185,340 592,670 296,335 889,006 444,503 1,333,510 666,755 2,000,266 1,000,133 3,000,400 1,500,200 750,100 375,050 187,525 562,576 281,288 140,644 70,322 35,161 105,484 52,742 26,371 79,114 39,557 118,672 59,336 29,668 14,834 7,417

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