7,972,640

2⁵ × 5 × 13 × 3833

Starting at 7,972,640, the Collatz iteration reaches 1 after 217 steps. The first transition is 3986320; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 3833

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,289,528

Proper Divisor Sum 12,316,888

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7972633 ← → #7972663

Radix Representation

Decimal	7972640
Binary	11110011010011100100000 (23 bits)
Octal	0o36323440
Hexadecimal	0x79A720

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 3,833 7,666 15,332 19,165 30,664 38,330 49,829 61,328 76,660 99,658 122,656 153,320 199,316 249,145 306,640 398,632 498,290 613,280 797,264 996,580 1,594,528 1,993,160 3,986,320 7,972,640

Collatz Trajectory (217 steps to reach 1)

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

7,972,640 3,986,320 1,993,160 996,580 498,290 249,145 747,436 373,718 186,859 560,578 280,289 840,868 420,434 210,217 630,652 315,326 157,663 472,990 236,495 709,486 354,743 1,064,230 532,115 1,596,346 798,173 2,394,520 1,197,260 598,630 299,315 897,946 448,973 1,346,920 673,460 336,730 168,365 505,096 252,548 126,274 63,137 189,412 94,706 47,353 142,060 71,030 35,515 106,546 53,273 159,820 79,910 39,955 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570

← Previous Integer #7,972,639 Browse Full Index Next Integer #7,972,641 →