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Atlas › Integer Profiles › Node 46,138,653

46,138,653

35 × 11 × 41 × 421
Deficient Odd Composite

46,138,653 factors as 3^5 × 11 × 41 × 421. Its 48 positive divisors give a proper-divisor sum of 31,279,779, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3^5 × 11 × 41 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 77,418,432
Proper Divisor Sum 31,279,779
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #46138639 ← → #46138661

Radix Representation

Decimal 46138653
Binary 10110000000000010100011101 (26 bits)
Octal 0o260002435
Hexadecimal 0x2C0051D

Divisor Catalog (48)

1 3 9 11 27 33 41 81 99 123 243 297 369 421 451 891 1,107 1,263 1,353 2,673 3,321 3,789 4,059 4,631 9,963 11,367 12,177 13,893 17,261 34,101 36,531 41,679 51,783 102,303 109,593 125,037 155,349 189,871 375,111 466,047 569,613 1,125,333 1,398,141 1,708,839 4,194,423 5,126,517 15,379,551 46,138,653

Collatz Trajectory (129 steps to reach 1)

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

46,138,653 138,415,960 69,207,980 34,603,990 17,301,995 51,905,986 25,952,993 77,858,980 38,929,490 19,464,745 58,394,236 29,197,118 14,598,559 43,795,678 21,897,839 65,693,518 32,846,759 98,540,278 49,270,139 147,810,418 73,905,209 221,715,628 110,857,814 55,428,907 166,286,722 83,143,361 249,430,084 124,715,042 62,357,521 187,072,564 93,536,282 46,768,141 140,304,424 70,152,212 35,076,106 17,538,053 52,614,160 26,307,080 13,153,540 6,576,770 3,288,385 9,865,156 4,932,578 2,466,289 7,398,868 3,699,434 1,849,717 5,549,152 2,774,576 1,387,288 693,644 346,822 173,411 520,234 260,117 780,352 390,176 195,088 97,544 48,772

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