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Atlas › Integer Profiles › Node 7,704,075

7,704,075

3 × 52 × 139 × 739
Deficient Odd Composite

7,704,075 factors as 3 × 5^2 × 139 × 739. Its 24 positive divisors give a proper-divisor sum of 5,142,325, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 139 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,846,400
Proper Divisor Sum 5,142,325
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7704071 ← → #7704083

Radix Representation

Decimal 7704075
Binary 11101011000111000001011 (23 bits)
Octal 0o35307013
Hexadecimal 0x758E0B

Divisor Catalog (24)

1 3 5 15 25 75 139 417 695 739 2,085 2,217 3,475 3,695 10,425 11,085 18,475 55,425 102,721 308,163 513,605 1,540,815 2,568,025 7,704,075

Collatz Trajectory (217 steps to reach 1)

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

7,704,075 23,112,226 11,556,113 34,668,340 17,334,170 8,667,085 26,001,256 13,000,628 6,500,314 3,250,157 9,750,472 4,875,236 2,437,618 1,218,809 3,656,428 1,828,214 914,107 2,742,322 1,371,161 4,113,484 2,056,742 1,028,371 3,085,114 1,542,557 4,627,672 2,313,836 1,156,918 578,459 1,735,378 867,689 2,603,068 1,301,534 650,767 1,952,302 976,151 2,928,454 1,464,227 4,392,682 2,196,341 6,589,024 3,294,512 1,647,256 823,628 411,814 205,907 617,722 308,861 926,584 463,292 231,646 115,823 347,470 173,735 521,206 260,603 781,810 390,905 1,172,716 586,358 293,179

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