3,701,815

5 × 13 × 56951

3,701,815 has digital root 7. The neighboring primes are 3701809 and 3701839; its proper-divisor sum differs from the starting integer by -2,619,662.

Prime Factor Structure

Factorization String 5 × 13 × 56951

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,783,968

Proper Divisor Sum 1,082,153

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3701809 ← → #3701839

Radix Representation

Decimal	3701815
Binary	1110000111110000110111 (22 bits)
Octal	0o16076067
Hexadecimal	0x387C37

Divisor Catalog (8)

1 5 13 65 56,951 284,755 740,363 3,701,815

Collatz Trajectory (141 steps to reach 1)

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

3,701,815 11,105,446 5,552,723 16,658,170 8,329,085 24,987,256 12,493,628 6,246,814 3,123,407 9,370,222 4,685,111 14,055,334 7,027,667 21,083,002 10,541,501 31,624,504 15,812,252 7,906,126 3,953,063 11,859,190 5,929,595 17,788,786 8,894,393 26,683,180 13,341,590 6,670,795 20,012,386 10,006,193 30,018,580 15,009,290 7,504,645 22,513,936 11,256,968 5,628,484 2,814,242 1,407,121 4,221,364 2,110,682 1,055,341 3,166,024 1,583,012 791,506 395,753 1,187,260 593,630 296,815 890,446 445,223 1,335,670 667,835 2,003,506 1,001,753 3,005,260 1,502,630 751,315 2,253,946 1,126,973 3,380,920 1,690,460 845,230

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