λ
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Atlas › Integer Profiles › Node 46,802,457

46,802,457

32 × 13 × 307 × 1303
Deficient Odd Composite

46,802,457 factors as 3^2 × 13 × 307 × 1303. Its 24 positive divisors give a proper-divisor sum of 26,294,567, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 307 × 1303
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 73,097,024
Proper Divisor Sum 26,294,567
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #46802429 ← → #46802461

Radix Representation

Decimal 46802457
Binary 10110010100010011000011001 (26 bits)
Octal 0o262423031
Hexadecimal 0x2CA2619

Divisor Catalog (24)

1 3 9 13 39 117 307 921 1,303 2,763 3,909 3,991 11,727 11,973 16,939 35,919 50,817 152,451 400,021 1,200,063 3,600,189 5,200,273 15,600,819 46,802,457

Collatz Trajectory (178 steps to reach 1)

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

46,802,457 140,407,372 70,203,686 35,101,843 105,305,530 52,652,765 157,958,296 78,979,148 39,489,574 19,744,787 59,234,362 29,617,181 88,851,544 44,425,772 22,212,886 11,106,443 33,319,330 16,659,665 49,978,996 24,989,498 12,494,749 37,484,248 18,742,124 9,371,062 4,685,531 14,056,594 7,028,297 21,084,892 10,542,446 5,271,223 15,813,670 7,906,835 23,720,506 11,860,253 35,580,760 17,790,380 8,895,190 4,447,595 13,342,786 6,671,393 20,014,180 10,007,090 5,003,545 15,010,636 7,505,318 3,752,659 11,257,978 5,628,989 16,886,968 8,443,484 4,221,742 2,110,871 6,332,614 3,166,307 9,498,922 4,749,461 14,248,384 7,124,192 3,562,096 1,781,048

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