7,260,281

7³ × 61 × 347

7,260,281 factors as 7^3 × 61 × 347. Its 16 positive divisors give a proper-divisor sum of 1,370,119, so this integer is deficient. The Collatz stopping time is 372 steps.

Prime Factor Structure

Factorization String 7^3 × 61 × 347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,630,400

Proper Divisor Sum 1,370,119

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7260277 ← → #7260283

Radix Representation

Decimal	7260281
Binary	11011101100100001111001 (23 bits)
Octal	0o33544171
Hexadecimal	0x6EC879

Divisor Catalog (16)

1 7 49 61 343 347 427 2,429 2,989 17,003 20,923 21,167 119,021 148,169 1,037,183 7,260,281

Collatz Trajectory (372 steps to reach 1)

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

7,260,281 21,780,844 10,890,422 5,445,211 16,335,634 8,167,817 24,503,452 12,251,726 6,125,863 18,377,590 9,188,795 27,566,386 13,783,193 41,349,580 20,674,790 10,337,395 31,012,186 15,506,093 46,518,280 23,259,140 11,629,570 5,814,785 17,444,356 8,722,178 4,361,089 13,083,268 6,541,634 3,270,817 9,812,452 4,906,226 2,453,113 7,359,340 3,679,670 1,839,835 5,519,506 2,759,753 8,279,260 4,139,630 2,069,815 6,209,446 3,104,723 9,314,170 4,657,085 13,971,256 6,985,628 3,492,814 1,746,407 5,239,222 2,619,611 7,858,834 3,929,417 11,788,252 5,894,126 2,947,063 8,841,190 4,420,595 13,261,786 6,630,893 19,892,680 9,946,340

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