78,124,641

3 × 7 × 293 × 12697

78,124,641 factors as 3 × 7 × 293 × 12697. Its 16 positive divisors give a proper-divisor sum of 41,338,143, so this integer is deficient. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 3 × 7 × 293 × 12697

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 119,462,784

Proper Divisor Sum 41,338,143

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #78124577 ← → #78124687

Radix Representation

Decimal	78124641
Binary	100101010000001011001100001 (27 bits)
Octal	0o452013141
Hexadecimal	0x4A81661

Divisor Catalog (16)

1 3 7 21 293 879 2,051 6,153 12,697 38,091 88,879 266,637 3,720,221 11,160,663 26,041,547 78,124,641

Collatz Trajectory (65 steps to reach 1)

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

78,124,641 234,373,924 117,186,962 58,593,481 175,780,444 87,890,222 43,945,111 131,835,334 65,917,667 197,753,002 98,876,501 296,629,504 148,314,752 74,157,376 37,078,688 18,539,344 9,269,672 4,634,836 2,317,418 1,158,709 3,476,128 1,738,064 869,032 434,516 217,258 108,629 325,888 162,944 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64

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