λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,720,892

48,720,892

22 × 112 × 43 × 2341
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11^2 × 43 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 95,937,688
Proper Divisor Sum 47,216,796
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #48720851 ← → #48720907

Radix Representation

Decimal 48720892
Binary 10111001110110101111111100 (26 bits)
Octal 0o271665774
Hexadecimal 0x2E76BFC

Divisor Catalog (36)

1 2 4 11 22 43 44 86 121 172 242 473 484 946 1,892 2,341 4,682 5,203 9,364 10,406 20,812 25,751 51,502 100,663 103,004 201,326 283,261 402,652 566,522 1,107,293 1,133,044 2,214,586 4,429,172 12,180,223 24,360,446 48,720,892

Collatz Trajectory (142 steps to reach 1)

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

48,720,892 24,360,446 12,180,223 36,540,670 18,270,335 54,811,006 27,405,503 82,216,510 41,108,255 123,324,766 61,662,383 184,987,150 92,493,575 277,480,726 138,740,363 416,221,090 208,110,545 624,331,636 312,165,818 156,082,909 468,248,728 234,124,364 117,062,182 58,531,091 175,593,274 87,796,637 263,389,912 131,694,956 65,847,478 32,923,739 98,771,218 49,385,609 148,156,828 74,078,414 37,039,207 111,117,622 55,558,811 166,676,434 83,338,217 250,014,652 125,007,326 62,503,663 187,510,990 93,755,495 281,266,486 140,633,243 421,899,730 210,949,865 632,849,596 316,424,798 158,212,399 474,637,198 237,318,599 711,955,798 355,977,899 1,067,933,698 533,966,849 1,601,900,548 800,950,274 400,475,137

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