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Atlas › Integer Profiles › Node 4,147,156

4,147,156

22 × 13 × 173 × 461
Deficient Even Composite

4,147,156 factors as 2^2 × 13 × 173 × 461. Its 24 positive divisors give a proper-divisor sum of 3,730,868, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 173 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,878,024
Proper Divisor Sum 3,730,868
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4147151 ← → #4147159

Radix Representation

Decimal 4147156
Binary 1111110100011111010100 (22 bits)
Octal 0o17643724
Hexadecimal 0x3F47D4

Divisor Catalog (24)

1 2 4 13 26 52 173 346 461 692 922 1,844 2,249 4,498 5,993 8,996 11,986 23,972 79,753 159,506 319,012 1,036,789 2,073,578 4,147,156

Collatz Trajectory (167 steps to reach 1)

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

4,147,156 2,073,578 1,036,789 3,110,368 1,555,184 777,592 388,796 194,398 97,199 291,598 145,799 437,398 218,699 656,098 328,049 984,148 492,074 246,037 738,112 369,056 184,528 92,264 46,132 23,066 11,533 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124

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