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Atlas › Integer Profiles › Node 3,907,015

3,907,015

5 × 72 × 37 × 431
Deficient Odd Composite

3,907,015 factors as 5 × 7^2 × 37 × 431. Its 24 positive divisors give a proper-divisor sum of 1,707,257, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 37 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,614,272
Proper Divisor Sum 1,707,257
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3907009 ← → #3907019

Radix Representation

Decimal 3907015
Binary 1110111001110111000111 (22 bits)
Octal 0o16716707
Hexadecimal 0x3B9DC7

Divisor Catalog (24)

1 5 7 35 37 49 185 245 259 431 1,295 1,813 2,155 3,017 9,065 15,085 15,947 21,119 79,735 105,595 111,629 558,145 781,403 3,907,015

Collatz Trajectory (123 steps to reach 1)

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

3,907,015 11,721,046 5,860,523 17,581,570 8,790,785 26,372,356 13,186,178 6,593,089 19,779,268 9,889,634 4,944,817 14,834,452 7,417,226 3,708,613 11,125,840 5,562,920 2,781,460 1,390,730 695,365 2,086,096 1,043,048 521,524 260,762 130,381 391,144 195,572 97,786 48,893 146,680 73,340 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476 139,238 69,619 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696

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