7,925,120

2⁷ × 5 × 7 × 29 × 61

Starting at 7,925,120, the Collatz iteration reaches 1 after 186 steps. The first transition is 3962560; the starting value is even with 128 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 5 × 7 × 29 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,766,400

Proper Divisor Sum 14,841,280

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7925101 ← → #7925123

Radix Representation

Decimal	7925120
Binary	11110001110110110000000 (23 bits)
Octal	0o36166600
Hexadecimal	0x78ED80

Divisor Catalog (60 of 128)

1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 61 64 70 80 112 116 122 128 140 145 160 203 224 232 244 280 290 305 320 406 427 448 464 488 560 580 610 640 812 854 896 928 976 1,015 1,120 1,160 1,220 1,624 1,708 1,769 1,856 1,952 2,030

Collatz Trajectory (186 steps to reach 1)

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

7,925,120 3,962,560 1,981,280 990,640 495,320 247,660 123,830 61,915 185,746 92,873 278,620 139,310 69,655 208,966 104,483 313,450 156,725 470,176 235,088 117,544 58,772 29,386 14,693 44,080 22,040 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403

More profiles

Browse other published profiles and their separate link collections.

Profile #1,085,388 Profile #2,866,586 Profile #2,416,671 Profile #5,064,289 Profile #3,469,465 Profile #4,735,257 Profile #3,997,595 Profile #8,533,971

← Previous Integer #7,925,119 Browse Full Index Next Integer #7,925,121 →