3,767,960

2³ × 5 × 7 × 13457

For 3,767,960, the 32 positive divisors have a total of 9,689,760. Removing 3,767,960 leaves 5,921,800, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13457

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,689,760

Proper Divisor Sum 5,921,800

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3767923 ← → #3767971

Radix Representation

Decimal	3767960
Binary	1110010111111010011000 (22 bits)
Octal	0o16277230
Hexadecimal	0x397E98

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 13,457 26,914 53,828 67,285 94,199 107,656 134,570 188,398 269,140 376,796 470,995 538,280 753,592 941,990 1,883,980 3,767,960

Collatz Trajectory (154 steps to reach 1)

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

3,767,960 1,883,980 941,990 470,995 1,412,986 706,493 2,119,480 1,059,740 529,870 264,935 794,806 397,403 1,192,210 596,105 1,788,316 894,158 447,079 1,341,238 670,619 2,011,858 1,005,929 3,017,788 1,508,894 754,447 2,263,342 1,131,671 3,395,014 1,697,507 5,092,522 2,546,261 7,638,784 3,819,392 1,909,696 954,848 477,424 238,712 119,356 59,678 29,839 89,518 44,759 134,278 67,139 201,418 100,709 302,128 151,064 75,532 37,766 18,883 56,650 28,325 84,976 42,488 21,244 10,622 5,311 15,934 7,967 23,902

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