71,421,532

2² × 7 × 13 × 19 × 23 × 449

71,421,532 factors as 2^2 × 7 × 13 × 19 × 23 × 449. Its 96 positive divisors give a proper-divisor sum of 97,922,468, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 19 × 23 × 449

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 169,344,000

Proper Divisor Sum 97,922,468

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #71421499 ← → #71421533

Radix Representation

Decimal	71421532
Binary	100010000011100111001011100 (27 bits)
Octal	0o420347134
Hexadecimal	0x441CE5C

Divisor Catalog (60 of 96)

1 2 4 7 13 14 19 23 26 28 38 46 52 76 91 92 133 161 182 247 266 299 322 364 437 449 494 532 598 644 874 898 988 1,196 1,729 1,748 1,796 2,093 3,059 3,143 3,458 4,186 5,681 5,837 6,118 6,286 6,916 8,372 8,531 10,327 11,362 11,674 12,236 12,572 17,062 20,654 22,724 23,348 34,124 39,767

Collatz Trajectory (184 steps to reach 1)

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

71,421,532 35,710,766 17,855,383 53,566,150 26,783,075 80,349,226 40,174,613 120,523,840 60,261,920 30,130,960 15,065,480 7,532,740 3,766,370 1,883,185 5,649,556 2,824,778 1,412,389 4,237,168 2,118,584 1,059,292 529,646 264,823 794,470 397,235 1,191,706 595,853 1,787,560 893,780 446,890 223,445 670,336 335,168 167,584 83,792 41,896 20,948 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105

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