4,712,071

7 × 13 × 53 × 977

Starting at 4,712,071, the Collatz iteration reaches 1 after 131 steps. The first transition is 14136214; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 53 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,914,944

Proper Divisor Sum 1,202,873

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4712063 ← → #4712083

Radix Representation

Decimal	4712071
Binary	10001111110011010000111 (23 bits)
Octal	0o21763207
Hexadecimal	0x47E687

Divisor Catalog (16)

1 7 13 53 91 371 689 977 4,823 6,839 12,701 51,781 88,907 362,467 673,153 4,712,071

Collatz Trajectory (131 steps to reach 1)

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

4,712,071 14,136,214 7,068,107 21,204,322 10,602,161 31,806,484 15,903,242 7,951,621 23,854,864 11,927,432 5,963,716 2,981,858 1,490,929 4,472,788 2,236,394 1,118,197 3,354,592 1,677,296 838,648 419,324 209,662 104,831 314,494 157,247 471,742 235,871 707,614 353,807 1,061,422 530,711 1,592,134 796,067 2,388,202 1,194,101 3,582,304 1,791,152 895,576 447,788 223,894 111,947 335,842 167,921 503,764 251,882 125,941 377,824 188,912 94,456 47,228 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332

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