25,125,154

2 × 23 × 109 × 5011

25,125,154 factors as 2 × 23 × 109 × 5011. Its 16 positive divisors give a proper-divisor sum of 14,569,886, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 23 × 109 × 5011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 39,695,040

Proper Divisor Sum 14,569,886

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #25125151 ← → #25125157

Radix Representation

Decimal	25125154
Binary	1011111110110000100100010 (25 bits)
Octal	0o137660442
Hexadecimal	0x17F6122

Divisor Catalog (16)

1 2 23 46 109 218 2,507 5,011 5,014 10,022 115,253 230,506 546,199 1,092,398 12,562,577 25,125,154

Collatz Trajectory (154 steps to reach 1)

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

25,125,154 12,562,577 37,687,732 18,843,866 9,421,933 28,265,800 14,132,900 7,066,450 3,533,225 10,599,676 5,299,838 2,649,919 7,949,758 3,974,879 11,924,638 5,962,319 17,886,958 8,943,479 26,830,438 13,415,219 40,245,658 20,122,829 60,368,488 30,184,244 15,092,122 7,546,061 22,638,184 11,319,092 5,659,546 2,829,773 8,489,320 4,244,660 2,122,330 1,061,165 3,183,496 1,591,748 795,874 397,937 1,193,812 596,906 298,453 895,360 447,680 223,840 111,920 55,960 27,980 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566

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