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Atlas › Integer Profiles › Node 71,007,404

71,007,404

22 × 13 × 67 × 89 × 229
Deficient Even Composite

71,007,404 factors as 2^2 × 13 × 67 × 89 × 229. Its 48 positive divisors give a proper-divisor sum of 66,937,396, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 67 × 89 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 137,944,800
Proper Divisor Sum 66,937,396
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #71007401 ← → #71007407

Radix Representation

Decimal 71007404
Binary 100001110110111110010101100 (27 bits)
Octal 0o416676254
Hexadecimal 0x43B7CAC

Divisor Catalog (48)

1 2 4 13 26 52 67 89 134 178 229 268 356 458 871 916 1,157 1,742 2,314 2,977 3,484 4,628 5,954 5,963 11,908 11,926 15,343 20,381 23,852 30,686 40,762 61,372 77,519 81,524 155,038 199,459 264,953 310,076 398,918 529,906 797,836 1,059,812 1,365,527 2,731,054 5,462,108 17,751,851 35,503,702 71,007,404

Collatz Trajectory (145 steps to reach 1)

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

71,007,404 35,503,702 17,751,851 53,255,554 26,627,777 79,883,332 39,941,666 19,970,833 59,912,500 29,956,250 14,978,125 44,934,376 22,467,188 11,233,594 5,616,797 16,850,392 8,425,196 4,212,598 2,106,299 6,318,898 3,159,449 9,478,348 4,739,174 2,369,587 7,108,762 3,554,381 10,663,144 5,331,572 2,665,786 1,332,893 3,998,680 1,999,340 999,670 499,835 1,499,506 749,753 2,249,260 1,124,630 562,315 1,686,946 843,473 2,530,420 1,265,210 632,605 1,897,816 948,908 474,454 237,227 711,682 355,841 1,067,524 533,762 266,881 800,644 400,322 200,161 600,484 300,242 150,121 450,364

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