λ
Sigma Notebook

156,952

23 × 23 × 853
Deficient Even Composite

156,952 is even and not a perfect square. Its factorization is 2^3 × 23 × 853 and its 16 divisors sum to 307,440.

Prime Factor Structure

Factorization String 2^3 × 23 × 853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 307,440
Proper Divisor Sum 150,488
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #156943 ← → #156967

Radix Representation

Decimal 156952
Binary 100110010100011000 (18 bits)
Octal 0o462430
Hexadecimal 0x26518

Divisor Catalog (16)

1 2 4 8 23 46 92 184 853 1,706 3,412 6,824 19,619 39,238 78,476 156,952

Collatz Trajectory (170 steps to reach 1)

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

156,952 78,476 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000

More profiles

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