7,792,772

2² × 13 × 149861

7,792,772 has digital root 5. The neighboring primes are 7792769 and 7792777; its proper-divisor sum differs from the starting integer by -899,068.

Prime Factor Structure

Factorization String 2^2 × 13 × 149861

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,686,476

Proper Divisor Sum 6,893,704

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7792769 ← → #7792777

Radix Representation

Decimal	7792772
Binary	11101101110100010000100 (23 bits)
Octal	0o35564204
Hexadecimal	0x76E884

Divisor Catalog (12)

1 2 4 13 26 52 149,861 299,722 599,444 1,948,193 3,896,386 7,792,772

Collatz Trajectory (186 steps to reach 1)

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

7,792,772 3,896,386 1,948,193 5,844,580 2,922,290 1,461,145 4,383,436 2,191,718 1,095,859 3,287,578 1,643,789 4,931,368 2,465,684 1,232,842 616,421 1,849,264 924,632 462,316 231,158 115,579 346,738 173,369 520,108 260,054 130,027 390,082 195,041 585,124 292,562 146,281 438,844 219,422 109,711 329,134 164,567 493,702 246,851 740,554 370,277 1,110,832 555,416 277,708 138,854 69,427 208,282 104,141 312,424 156,212 78,106 39,053 117,160 58,580 29,290 14,645 43,936 21,968 10,984 5,492 2,746 1,373

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