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Atlas › Integer Profiles › Node 3,928,015

3,928,015

5 × 7 × 13 × 89 × 97
Deficient Odd Composite

3,928,015 factors as 5 × 7 × 13 × 89 × 97. Its 32 positive divisors give a proper-divisor sum of 1,999,025, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 89 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,927,040
Proper Divisor Sum 1,999,025
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3928013 ← → #3928019

Radix Representation

Decimal 3928015
Binary 1110111110111111001111 (22 bits)
Octal 0o16767717
Hexadecimal 0x3BEFCF

Divisor Catalog (32)

1 5 7 13 35 65 89 91 97 445 455 485 623 679 1,157 1,261 3,115 3,395 5,785 6,305 8,099 8,633 8,827 40,495 43,165 44,135 60,431 112,229 302,155 561,145 785,603 3,928,015

Collatz Trajectory (123 steps to reach 1)

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

3,928,015 11,784,046 5,892,023 17,676,070 8,838,035 26,514,106 13,257,053 39,771,160 19,885,580 9,942,790 4,971,395 14,914,186 7,457,093 22,371,280 11,185,640 5,592,820 2,796,410 1,398,205 4,194,616 2,097,308 1,048,654 524,327 1,572,982 786,491 2,359,474 1,179,737 3,539,212 1,769,606 884,803 2,654,410 1,327,205 3,981,616 1,990,808 995,404 497,702 248,851 746,554 373,277 1,119,832 559,916 279,958 139,979 419,938 209,969 629,908 314,954 157,477 472,432 236,216 118,108 59,054 29,527 88,582 44,291 132,874 66,437 199,312 99,656 49,828 24,914

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