4,202,129

29 × 47 × 3083

4,202,129 factors as 29 × 47 × 3083. Its 8 positive divisors give a proper-divisor sum of 238,831, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 29 × 47 × 3083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,440,960

Proper Divisor Sum 238,831

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4202117 ← → #4202141

Radix Representation

Decimal	4202129
Binary	10000000001111010010001 (23 bits)
Octal	0o20017221
Hexadecimal	0x401E91

Divisor Catalog (8)

1 29 47 1,363 3,083 89,407 144,901 4,202,129

Collatz Trajectory (229 steps to reach 1)

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

4,202,129 12,606,388 6,303,194 3,151,597 9,454,792 4,727,396 2,363,698 1,181,849 3,545,548 1,772,774 886,387 2,659,162 1,329,581 3,988,744 1,994,372 997,186 498,593 1,495,780 747,890 373,945 1,121,836 560,918 280,459 841,378 420,689 1,262,068 631,034 315,517 946,552 473,276 236,638 118,319 354,958 177,479 532,438 266,219 798,658 399,329 1,197,988 598,994 299,497 898,492 449,246 224,623 673,870 336,935 1,010,806 505,403 1,516,210 758,105 2,274,316 1,137,158 568,579 1,705,738 852,869 2,558,608 1,279,304 639,652 319,826 159,913

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