46,986,268

2² × 7 × 107 × 15683

46,986,268 factors as 2^2 × 7 × 107 × 15683. Its 24 positive divisors give a proper-divisor sum of 47,870,564, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 107 × 15683

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 94,856,832

Proper Divisor Sum 47,870,564

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #46986257 ← → #46986307

Radix Representation

Decimal	46986268
Binary	10110011001111010000011100 (26 bits)
Octal	0o263172034
Hexadecimal	0x2CCF41C

Divisor Catalog (24)

Collatz Trajectory (155 steps to reach 1)

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

46,986,268 23,493,134 11,746,567 35,239,702 17,619,851 52,859,554 26,429,777 79,289,332 39,644,666 19,822,333 59,467,000 29,733,500 14,866,750 7,433,375 22,300,126 11,150,063 33,450,190 16,725,095 50,175,286 25,087,643 75,262,930 37,631,465 112,894,396 56,447,198 28,223,599 84,670,798 42,335,399 127,006,198 63,503,099 190,509,298 95,254,649 285,763,948 142,881,974 71,440,987 214,322,962 107,161,481 321,484,444 160,742,222 80,371,111 241,113,334 120,556,667 361,670,002 180,835,001 542,505,004 271,252,502 135,626,251 406,878,754 203,439,377 610,318,132 305,159,066 152,579,533 457,738,600 228,869,300 114,434,650 57,217,325 171,651,976 85,825,988 42,912,994 21,456,497 64,369,492

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