λ
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Atlas › Integer Profiles › Node 47,653,148

47,653,148

22 × 23 × 29 × 53 × 337
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 29 × 53 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,990,080
Proper Divisor Sum 44,336,932
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #47653127 ← → #47653153

Radix Representation

Decimal 47653148
Binary 10110101110010000100011100 (26 bits)
Octal 0o265620434
Hexadecimal 0x2D7211C

Divisor Catalog (48)

1 2 4 23 29 46 53 58 92 106 116 212 337 667 674 1,219 1,334 1,348 1,537 2,438 2,668 3,074 4,876 6,148 7,751 9,773 15,502 17,861 19,546 31,004 35,351 35,722 39,092 70,702 71,444 141,404 224,779 410,803 449,558 517,969 821,606 899,116 1,035,938 1,643,212 2,071,876 11,913,287 23,826,574 47,653,148

Collatz Trajectory (292 steps to reach 1)

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

47,653,148 23,826,574 11,913,287 35,739,862 17,869,931 53,609,794 26,804,897 80,414,692 40,207,346 20,103,673 60,311,020 30,155,510 15,077,755 45,233,266 22,616,633 67,849,900 33,924,950 16,962,475 50,887,426 25,443,713 76,331,140 38,165,570 19,082,785 57,248,356 28,624,178 14,312,089 42,936,268 21,468,134 10,734,067 32,202,202 16,101,101 48,303,304 24,151,652 12,075,826 6,037,913 18,113,740 9,056,870 4,528,435 13,585,306 6,792,653 20,377,960 10,188,980 5,094,490 2,547,245 7,641,736 3,820,868 1,910,434 955,217 2,865,652 1,432,826 716,413 2,149,240 1,074,620 537,310 268,655 805,966 402,983 1,208,950 604,475 1,813,426

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