λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,752,615

25,752,615

3 × 5 × 7 × 59 × 4157
Deficient Odd Composite

25,752,615 factors as 3 × 5 × 7 × 59 × 4157. Its 32 positive divisors give a proper-divisor sum of 22,147,545, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 59 × 4157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,900,160
Proper Divisor Sum 22,147,545
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #25752613 ← → #25752641

Radix Representation

Decimal 25752615
Binary 1100010001111010000100111 (25 bits)
Octal 0o142172047
Hexadecimal 0x188F427

Divisor Catalog (32)

1 3 5 7 15 21 35 59 105 177 295 413 885 1,239 2,065 4,157 6,195 12,471 20,785 29,099 62,355 87,297 145,495 245,263 436,485 735,789 1,226,315 1,716,841 3,678,945 5,150,523 8,584,205 25,752,615

Collatz Trajectory (149 steps to reach 1)

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

25,752,615 77,257,846 38,628,923 115,886,770 57,943,385 173,830,156 86,915,078 43,457,539 130,372,618 65,186,309 195,558,928 97,779,464 48,889,732 24,444,866 12,222,433 36,667,300 18,333,650 9,166,825 27,500,476 13,750,238 6,875,119 20,625,358 10,312,679 30,938,038 15,469,019 46,407,058 23,203,529 69,610,588 34,805,294 17,402,647 52,207,942 26,103,971 78,311,914 39,155,957 117,467,872 58,733,936 29,366,968 14,683,484 7,341,742 3,670,871 11,012,614 5,506,307 16,518,922 8,259,461 24,778,384 12,389,192 6,194,596 3,097,298 1,548,649 4,645,948 2,322,974 1,161,487 3,484,462 1,742,231 5,226,694 2,613,347 7,840,042 3,920,021 11,760,064 5,880,032

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #25,752,614 Browse Full Index Next Integer #25,752,616 →