3,461,241

3 × 7 × 164821

3,461,241 factors as 3 × 7 × 164821. Its 8 positive divisors give a proper-divisor sum of 1,813,063, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3 × 7 × 164821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,274,304

Proper Divisor Sum 1,813,063

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3461233 ← → #3461257

Radix Representation

Decimal	3461241
Binary	1101001101000001111001 (22 bits)
Octal	0o15150171
Hexadecimal	0x34D079

Divisor Catalog (8)

1 3 7 21 164,821 494,463 1,153,747 3,461,241

Collatz Trajectory (177 steps to reach 1)

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

3,461,241 10,383,724 5,191,862 2,595,931 7,787,794 3,893,897 11,681,692 5,840,846 2,920,423 8,761,270 4,380,635 13,141,906 6,570,953 19,712,860 9,856,430 4,928,215 14,784,646 7,392,323 22,176,970 11,088,485 33,265,456 16,632,728 8,316,364 4,158,182 2,079,091 6,237,274 3,118,637 9,355,912 4,677,956 2,338,978 1,169,489 3,508,468 1,754,234 877,117 2,631,352 1,315,676 657,838 328,919 986,758 493,379 1,480,138 740,069 2,220,208 1,110,104 555,052 277,526 138,763 416,290 208,145 624,436 312,218 156,109 468,328 234,164 117,082 58,541 175,624 87,812 43,906 21,953

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