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Atlas › Integer Profiles › Node 52,250,758

52,250,758

2 × 72 × 17 × 79 × 397
Deficient Even Composite

52,250,758 factors as 2 × 7^2 × 17 × 79 × 397. Its 48 positive divisors give a proper-divisor sum of 45,752,762, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 79 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,003,520
Proper Divisor Sum 45,752,762
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52250749 ← → #52250761

Radix Representation

Decimal 52250758
Binary 11000111010100100010000110 (26 bits)
Octal 0o307244206
Hexadecimal 0x31D4886

Divisor Catalog (48)

1 2 7 14 17 34 49 79 98 119 158 238 397 553 794 833 1,106 1,343 1,666 2,686 2,779 3,871 5,558 6,749 7,742 9,401 13,498 18,802 19,453 31,363 38,906 47,243 62,726 65,807 94,486 131,614 219,541 330,701 439,082 533,171 661,402 1,066,342 1,536,787 3,073,574 3,732,197 7,464,394 26,125,379 52,250,758

Collatz Trajectory (124 steps to reach 1)

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

52,250,758 26,125,379 78,376,138 39,188,069 117,564,208 58,782,104 29,391,052 14,695,526 7,347,763 22,043,290 11,021,645 33,064,936 16,532,468 8,266,234 4,133,117 12,399,352 6,199,676 3,099,838 1,549,919 4,649,758 2,324,879 6,974,638 3,487,319 10,461,958 5,230,979 15,692,938 7,846,469 23,539,408 11,769,704 5,884,852 2,942,426 1,471,213 4,413,640 2,206,820 1,103,410 551,705 1,655,116 827,558 413,779 1,241,338 620,669 1,862,008 931,004 465,502 232,751 698,254 349,127 1,047,382 523,691 1,571,074 785,537 2,356,612 1,178,306 589,153 1,767,460 883,730 441,865 1,325,596 662,798 331,399

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