40,461,646

2 × 23 × 37 × 23773

40,461,646 factors as 2 × 23 × 37 × 23773. Its 16 positive divisors give a proper-divisor sum of 24,584,018, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 23 × 37 × 23773

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 65,045,664

Proper Divisor Sum 24,584,018

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #40461643 ← → #40461647

Radix Representation

Decimal	40461646
Binary	10011010010110010101001110 (26 bits)
Octal	0o232262516
Hexadecimal	0x269654E

Divisor Catalog (16)

1 2 23 37 46 74 851 1,702 23,773 47,546 546,779 879,601 1,093,558 1,759,202 20,230,823 40,461,646

Collatz Trajectory (253 steps to reach 1)

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

40,461,646 20,230,823 60,692,470 30,346,235 91,038,706 45,519,353 136,558,060 68,279,030 34,139,515 102,418,546 51,209,273 153,627,820 76,813,910 38,406,955 115,220,866 57,610,433 172,831,300 86,415,650 43,207,825 129,623,476 64,811,738 32,405,869 97,217,608 48,608,804 24,304,402 12,152,201 36,456,604 18,228,302 9,114,151 27,342,454 13,671,227 41,013,682 20,506,841 61,520,524 30,760,262 15,380,131 46,140,394 23,070,197 69,210,592 34,605,296 17,302,648 8,651,324 4,325,662 2,162,831 6,488,494 3,244,247 9,732,742 4,866,371 14,599,114 7,299,557 21,898,672 10,949,336 5,474,668 2,737,334 1,368,667 4,106,002 2,053,001 6,159,004 3,079,502 1,539,751

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