1,601,976

2³ × 3 × 66749

1,601,976 factors as 2^3 × 3 × 66749. Its 16 positive divisors give a proper-divisor sum of 2,403,024, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 66749

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,005,000

Proper Divisor Sum 2,403,024

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1601969 ← → #1602011

Radix Representation

Decimal	1601976
Binary	110000111000110111000 (21 bits)
Octal	0o6070670
Hexadecimal	0x1871B8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 66,749 133,498 200,247 266,996 400,494 533,992 800,988 1,601,976

Collatz Trajectory (238 steps to reach 1)

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

1,601,976 800,988 400,494 200,247 600,742 300,371 901,114 450,557 1,351,672 675,836 337,918 168,959 506,878 253,439 760,318 380,159 1,140,478 570,239 1,710,718 855,359 2,566,078 1,283,039 3,849,118 1,924,559 5,773,678 2,886,839 8,660,518 4,330,259 12,990,778 6,495,389 19,486,168 9,743,084 4,871,542 2,435,771 7,307,314 3,653,657 10,960,972 5,480,486 2,740,243 8,220,730 4,110,365 12,331,096 6,165,548 3,082,774 1,541,387 4,624,162 2,312,081 6,936,244 3,468,122 1,734,061 5,202,184 2,601,092 1,300,546 650,273 1,950,820 975,410 487,705 1,463,116 731,558 365,779

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