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Atlas › Integer Profiles › Node 7,752,425

7,752,425

52 × 172 × 29 × 37
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 17^2 × 29 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,849,380
Proper Divisor Sum 3,096,955
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7752421 ← → #7752431

Radix Representation

Decimal 7752425
Binary 11101100100101011101001 (23 bits)
Octal 0o35445351
Hexadecimal 0x764AE9

Divisor Catalog (36)

1 5 17 25 29 37 85 145 185 289 425 493 629 725 925 1,073 1,445 2,465 3,145 5,365 7,225 8,381 10,693 12,325 15,725 18,241 26,825 41,905 53,465 91,205 209,525 267,325 310,097 456,025 1,550,485 7,752,425

Collatz Trajectory (279 steps to reach 1)

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

7,752,425 23,257,276 11,628,638 5,814,319 17,442,958 8,721,479 26,164,438 13,082,219 39,246,658 19,623,329 58,869,988 29,434,994 14,717,497 44,152,492 22,076,246 11,038,123 33,114,370 16,557,185 49,671,556 24,835,778 12,417,889 37,253,668 18,626,834 9,313,417 27,940,252 13,970,126 6,985,063 20,955,190 10,477,595 31,432,786 15,716,393 47,149,180 23,574,590 11,787,295 35,361,886 17,680,943 53,042,830 26,521,415 79,564,246 39,782,123 119,346,370 59,673,185 179,019,556 89,509,778 44,754,889 134,264,668 67,132,334 33,566,167 100,698,502 50,349,251 151,047,754 75,523,877 226,571,632 113,285,816 56,642,908 28,321,454 14,160,727 42,482,182 21,241,091 63,723,274

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