84,100,734

2 × 3³ × 17³ × 317

84,100,734 factors as 2 × 3^3 × 17^3 × 317. Its 64 positive divisors give a proper-divisor sum of 115,094,466, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 17^3 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 199,195,200

Proper Divisor Sum 115,094,466

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84100729 ← → #84100739

Radix Representation

Decimal	84100734
Binary	101000000110100011001111110 (27 bits)
Octal	0o500643176
Hexadecimal	0x503467E

Divisor Catalog (60 of 64)

1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 317 459 578 634 867 918 951 1,734 1,902 2,601 2,853 4,913 5,202 5,389 5,706 7,803 8,559 9,826 10,778 14,739 15,606 16,167 17,118 29,478 32,334 44,217 48,501 88,434 91,613 97,002 132,651 145,503 183,226 265,302 274,839 291,006 549,678 824,517 1,557,421 1,649,034 2,473,551 3,114,842 4,672,263 4,947,102 9,344,526

Collatz Trajectory (210 steps to reach 1)

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

84,100,734 42,050,367 126,151,102 63,075,551 189,226,654 94,613,327 283,839,982 141,919,991 425,759,974 212,879,987 638,639,962 319,319,981 957,959,944 478,979,972 239,489,986 119,744,993 359,234,980 179,617,490 89,808,745 269,426,236 134,713,118 67,356,559 202,069,678 101,034,839 303,104,518 151,552,259 454,656,778 227,328,389 681,985,168 340,992,584 170,496,292 85,248,146 42,624,073 127,872,220 63,936,110 31,968,055 95,904,166 47,952,083 143,856,250 71,928,125 215,784,376 107,892,188 53,946,094 26,973,047 80,919,142 40,459,571 121,378,714 60,689,357 182,068,072 91,034,036 45,517,018 22,758,509 68,275,528 34,137,764 17,068,882 8,534,441 25,603,324 12,801,662 6,400,831 19,202,494

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