84,100,729

84100729

84,100,729 factors as 84100729. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 84100729

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 84,100,730

Proper Divisor Sum 1

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #84100727 ← → #84100739

Radix Representation

Decimal	84100729
Binary	101000000110100011001111001 (27 bits)
Octal	0o500643171
Hexadecimal	0x5034679

Divisor Catalog (2)

1 84,100,729

Collatz Trajectory (192 steps to reach 1)

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

84,100,729 252,302,188 126,151,094 63,075,547 189,226,642 94,613,321 283,839,964 141,919,982 70,959,991 212,879,974 106,439,987 319,319,962 159,659,981 478,979,944 239,489,972 119,744,986 59,872,493 179,617,480 89,808,740 44,904,370 22,452,185 67,356,556 33,678,278 16,839,139 50,517,418 25,258,709 75,776,128 37,888,064 18,944,032 9,472,016 4,736,008 2,368,004 1,184,002 592,001 1,776,004 888,002 444,001 1,332,004 666,002 333,001 999,004 499,502 249,751 749,254 374,627 1,123,882 561,941 1,685,824 842,912 421,456 210,728 105,364 52,682 26,341 79,024 39,512 19,756 9,878 4,939 14,818

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