λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,123,775

47,123,775

35 × 52 × 7757
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5^2 × 7757
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 87,541,272
Proper Divisor Sum 40,417,497
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #47123771 ← → #47123827

Radix Representation

Decimal 47123775
Binary 10110011110000110100111111 (26 bits)
Octal 0o263606477
Hexadecimal 0x2CF0D3F

Divisor Catalog (36)

1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1,215 2,025 6,075 7,757 23,271 38,785 69,813 116,355 193,925 209,439 349,065 581,775 628,317 1,047,195 1,745,325 1,884,951 3,141,585 5,235,975 9,424,755 15,707,925 47,123,775

Collatz Trajectory (199 steps to reach 1)

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

47,123,775 141,371,326 70,685,663 212,056,990 106,028,495 318,085,486 159,042,743 477,128,230 238,564,115 715,692,346 357,846,173 1,073,538,520 536,769,260 268,384,630 134,192,315 402,576,946 201,288,473 603,865,420 301,932,710 150,966,355 452,899,066 226,449,533 679,348,600 339,674,300 169,837,150 84,918,575 254,755,726 127,377,863 382,133,590 191,066,795 573,200,386 286,600,193 859,800,580 429,900,290 214,950,145 644,850,436 322,425,218 161,212,609 483,637,828 241,818,914 120,909,457 362,728,372 181,364,186 90,682,093 272,046,280 136,023,140 68,011,570 34,005,785 102,017,356 51,008,678 25,504,339 76,513,018 38,256,509 114,769,528 57,384,764 28,692,382 14,346,191 43,038,574 21,519,287 64,557,862

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #47,123,774 Browse Full Index Next Integer #47,123,776 →