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Atlas › Integer Profiles › Node 46,148,336

46,148,336

24 × 13 × 17 × 31 × 421
Abundant Even Composite

46,148,336 factors as 2^4 × 13 × 17 × 31 × 421. Its 80 positive divisors give a proper-divisor sum of 59,344,912, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 17 × 31 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 105,493,248
Proper Divisor Sum 59,344,912
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #46148293 ← → #46148339

Radix Representation

Decimal 46148336
Binary 10110000000010101011110000 (26 bits)
Octal 0o260025360
Hexadecimal 0x2C02AF0

Divisor Catalog (60 of 80)

1 2 4 8 13 16 17 26 31 34 52 62 68 104 124 136 208 221 248 272 403 421 442 496 527 806 842 884 1,054 1,612 1,684 1,768 2,108 3,224 3,368 3,536 4,216 5,473 6,448 6,736 6,851 7,157 8,432 10,946 13,051 13,702 14,314 21,892 26,102 27,404 28,628 43,784 52,204 54,808 57,256 87,568 93,041 104,408 109,616 114,512

Collatz Trajectory (186 steps to reach 1)

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

46,148,336 23,074,168 11,537,084 5,768,542 2,884,271 8,652,814 4,326,407 12,979,222 6,489,611 19,468,834 9,734,417 29,203,252 14,601,626 7,300,813 21,902,440 10,951,220 5,475,610 2,737,805 8,213,416 4,106,708 2,053,354 1,026,677 3,080,032 1,540,016 770,008 385,004 192,502 96,251 288,754 144,377 433,132 216,566 108,283 324,850 162,425 487,276 243,638 121,819 365,458 182,729 548,188 274,094 137,047 411,142 205,571 616,714 308,357 925,072 462,536 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784

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