1,227,772

2² × 7 × 13 × 3373

1,227,772 has digital root 1. The neighboring primes are 1227769 and 1227797; its proper-divisor sum differs from the starting integer by 189,672.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 3373

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,645,216

Proper Divisor Sum 1,417,444

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1227769 ← → #1227797

Radix Representation

Decimal	1227772
Binary	100101011101111111100 (21 bits)
Octal	0o4535774
Hexadecimal	0x12BBFC

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 3,373 6,746 13,492 23,611 43,849 47,222 87,698 94,444 175,396 306,943 613,886 1,227,772

Collatz Trajectory (98 steps to reach 1)

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

1,227,772 613,886 306,943 920,830 460,415 1,381,246 690,623 2,071,870 1,035,935 3,107,806 1,553,903 4,661,710 2,330,855 6,992,566 3,496,283 10,488,850 5,244,425 15,733,276 7,866,638 3,933,319 11,799,958 5,899,979 17,699,938 8,849,969 26,549,908 13,274,954 6,637,477 19,912,432 9,956,216 4,978,108 2,489,054 1,244,527 3,733,582 1,866,791 5,600,374 2,800,187 8,400,562 4,200,281 12,600,844 6,300,422 3,150,211 9,450,634 4,725,317 14,175,952 7,087,976 3,543,988 1,771,994 885,997 2,657,992 1,328,996 664,498 332,249 996,748 498,374 249,187 747,562 373,781 1,121,344 560,672 280,336

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