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Atlas › Integer Profiles › Node 48,826,424

48,826,424

23 × 23 × 79 × 3359
Deficient Even Composite

48,826,424 factors as 2^3 × 23 × 79 × 3359. Its 32 positive divisors give a proper-divisor sum of 47,941,576, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 79 × 3359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,768,000
Proper Divisor Sum 47,941,576
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #48826423 ← → #48826433

Radix Representation

Decimal 48826424
Binary 10111010010000100000111000 (26 bits)
Octal 0o272204070
Hexadecimal 0x2E90838

Divisor Catalog (32)

1 2 4 8 23 46 79 92 158 184 316 632 1,817 3,359 3,634 6,718 7,268 13,436 14,536 26,872 77,257 154,514 265,361 309,028 530,722 618,056 1,061,444 2,122,888 6,103,303 12,206,606 24,413,212 48,826,424

Collatz Trajectory (261 steps to reach 1)

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

48,826,424 24,413,212 12,206,606 6,103,303 18,309,910 9,154,955 27,464,866 13,732,433 41,197,300 20,598,650 10,299,325 30,897,976 15,448,988 7,724,494 3,862,247 11,586,742 5,793,371 17,380,114 8,690,057 26,070,172 13,035,086 6,517,543 19,552,630 9,776,315 29,328,946 14,664,473 43,993,420 21,996,710 10,998,355 32,995,066 16,497,533 49,492,600 24,746,300 12,373,150 6,186,575 18,559,726 9,279,863 27,839,590 13,919,795 41,759,386 20,879,693 62,639,080 31,319,540 15,659,770 7,829,885 23,489,656 11,744,828 5,872,414 2,936,207 8,808,622 4,404,311 13,212,934 6,606,467 19,819,402 9,909,701 29,729,104 14,864,552 7,432,276 3,716,138 1,858,069

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