47,467,964

2² × 193 × 61487

47,467,964 factors as 2^2 × 193 × 61487. Its 12 positive divisors give a proper-divisor sum of 36,032,740, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 193 × 61487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 83,500,704

Proper Divisor Sum 36,032,740

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #47467963 ← → #47467991

Radix Representation

Decimal	47467964
Binary	10110101000100110110111100 (26 bits)
Octal	0o265046674
Hexadecimal	0x2D44DBC

Divisor Catalog (12)

1 2 4 193 386 772 61,487 122,974 245,948 11,866,991 23,733,982 47,467,964

Collatz Trajectory (124 steps to reach 1)

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

47,467,964 23,733,982 11,866,991 35,600,974 17,800,487 53,401,462 26,700,731 80,102,194 40,051,097 120,153,292 60,076,646 30,038,323 90,114,970 45,057,485 135,172,456 67,586,228 33,793,114 16,896,557 50,689,672 25,344,836 12,672,418 6,336,209 19,008,628 9,504,314 4,752,157 14,256,472 7,128,236 3,564,118 1,782,059 5,346,178 2,673,089 8,019,268 4,009,634 2,004,817 6,014,452 3,007,226 1,503,613 4,510,840 2,255,420 1,127,710 563,855 1,691,566 845,783 2,537,350 1,268,675 3,806,026 1,903,013 5,709,040 2,854,520 1,427,260 713,630 356,815 1,070,446 535,223 1,605,670 802,835 2,408,506 1,204,253 3,612,760 1,806,380

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