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Atlas › Integer Profiles › Node 48,629,752

48,629,752

23 × 29 × 263 × 797
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 29 × 263 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,802,400
Proper Divisor Sum 46,172,648
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48629719 ← → #48629761

Radix Representation

Decimal 48629752
Binary 10111001100000011111111000 (26 bits)
Octal 0o271403770
Hexadecimal 0x2E607F8

Divisor Catalog (32)

1 2 4 8 29 58 116 232 263 526 797 1,052 1,594 2,104 3,188 6,376 7,627 15,254 23,113 30,508 46,226 61,016 92,452 184,904 209,611 419,222 838,444 1,676,888 6,078,719 12,157,438 24,314,876 48,629,752

Collatz Trajectory (137 steps to reach 1)

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

48,629,752 24,314,876 12,157,438 6,078,719 18,236,158 9,118,079 27,354,238 13,677,119 41,031,358 20,515,679 61,547,038 30,773,519 92,320,558 46,160,279 138,480,838 69,240,419 207,721,258 103,860,629 311,581,888 155,790,944 77,895,472 38,947,736 19,473,868 9,736,934 4,868,467 14,605,402 7,302,701 21,908,104 10,954,052 5,477,026 2,738,513 8,215,540 4,107,770 2,053,885 6,161,656 3,080,828 1,540,414 770,207 2,310,622 1,155,311 3,465,934 1,732,967 5,198,902 2,599,451 7,798,354 3,899,177 11,697,532 5,848,766 2,924,383 8,773,150 4,386,575 13,159,726 6,579,863 19,739,590 9,869,795 29,609,386 14,804,693 44,414,080 22,207,040 11,103,520

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