4,014,777

3 × 13 × 113 × 911

4,014,777 factors as 3 × 13 × 113 × 911. Its 16 positive divisors give a proper-divisor sum of 1,807,431, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 13 × 113 × 911

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,822,208

Proper Divisor Sum 1,807,431

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4014767 ← → #4014809

Radix Representation

Decimal	4014777
Binary	1111010100001010111001 (22 bits)
Octal	0o17241271
Hexadecimal	0x3D42B9

Divisor Catalog (16)

1 3 13 39 113 339 911 1,469 2,733 4,407 11,843 35,529 102,943 308,829 1,338,259 4,014,777

Collatz Trajectory (136 steps to reach 1)

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

4,014,777 12,044,332 6,022,166 3,011,083 9,033,250 4,516,625 13,549,876 6,774,938 3,387,469 10,162,408 5,081,204 2,540,602 1,270,301 3,810,904 1,905,452 952,726 476,363 1,429,090 714,545 2,143,636 1,071,818 535,909 1,607,728 803,864 401,932 200,966 100,483 301,450 150,725 452,176 226,088 113,044 56,522 28,261 84,784 42,392 21,196 10,598 5,299 15,898 7,949 23,848 11,924 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252

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